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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-320-factorials-divisible-by-a-huge-integer.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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Markdown

---
id: 5900f4ae1000cf542c50ffbf
title: 'Problem 320: Factorials divisible by a huge integer'
challengeType: 5
forumTopicId: 301977
dashedName: problem-320-factorials-divisible-by-a-huge-integer
---
# --description--
Let N(i) be the smallest integer n such that n! is divisible by (i!)1234567890
Let S(u)=∑N(i) for 10 ≤ i ≤ u.
S(1000)=614538266565663.
Find S(1 000 000) mod 1018.
# --hints--
`euler320()` should return 278157919195482660.
```js
assert.strictEqual(euler320(), 278157919195482660);
```
# --seed--
## --seed-contents--
```js
function euler320() {
return true;
}
euler320();
```
# --solutions--
```js
// solution required
```