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								id: 5900f4c31000cf542c50ffd5
							 
						 
					
						
							
								
									
										
										
										
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								challengeType: 5
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								title: 'Problem 342: The totient of a square is a cube'
							 
						 
					
						
							
								
									
										
										
										
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								videoUrl: ''
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								localeTitle: 'Problema 342: El totiente de un cuadrado es un cubo.'
							 
						 
					
						
							
								
									
										
										
										
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								## Description
 
							 
						 
					
						
							
								
									
										
										
										
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								< section  id = "description" >  Considere el número 50. 502 = 2500 = 22 ×   54, entonces φ (2500) = 2 ×   4 ×   53 = 8 ×   53 = 23 ×   53. 1 Entonces 2500 es un cuadrado y φ (2500) es un cubo. < p >  Encuentre la suma de todos los números n, 1 < n < 1010 de manera que φ (n2) sea un cubo. < / p > < p >  1 φ denota la función totient de Euler. < / p > < / section > 
							 
						 
					
						
							
								
									
										
										
										
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								## Instructions
 
							 
						 
					
						
							
								
									
										
										
										
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								< section  id = "instructions" > 
							 
						 
					
						
							
								
									
										
										
										
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								< / section > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								## Tests
 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< section  id = 'tests' > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```yml
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								tests:
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								  -  text: < code > euler342()</ code >  debe devolver 5943040885644.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								    testString: 'assert.strictEqual(euler342(), 5943040885644, "< code > euler342()< / code >  should return 5943040885644.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / section > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								## Challenge Seed
 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< section  id = 'challengeSeed' > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< div  id = 'js-seed' > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								function euler342() {
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								  // Good luck!
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								  return true;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								}
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								euler342();
							 
						 
					
						
							
								
									
										
										
										
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								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / section > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								## Solution
 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< section  id = 'solution' > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								// solution required
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / section >