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---
id: 5900f51e1000cf542c510030
title: 'Problem 432: Totient sum'
challengeType: 5
forumTopicId: 302103
dashedName: problem-432-totient-sum
---
# --description--
Let S(n,m) = ∑φ(n × i) for 1 ≤ i ≤ m. (φ is Euler's totient function)
You are given that S(510510,106 )= 45480596821125120.
Find S(510510,1011). Give the last 9 digits of your answer.
# --hints--
`euler432()` should return 754862080.
```js
assert.strictEqual(euler432(), 754862080);
```
# --seed--
## --seed-contents--
```js
function euler432() {
return true;
}
euler432();
```
# --solutions--
```js
// solution required
```