---
id: 5900f4ae1000cf542c50ffbf
challengeType: 5
title: 'Problem 320: Factorials divisible by a huge integer'
videoUrl: ''
localeTitle: 'Problema 320: Factorials divisíveis por um inteiro enorme'
---

## Description
<section id="description"> Seja N (i) o menor inteiro n tal que n! é divisível por (i!) 1234567890 <p> Seja S (u) = ∑N (i) para 10 ≤ i ≤ u. </p><p> S (1000) = 614538266565663. </p><p> Encontre S (1 000 000) mod 1018. </p></section>

## Instructions
<section id="instructions">
</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler320()</code> deve retornar 278157919195482660.
    testString: 'assert.strictEqual(euler320(), 278157919195482660, "<code>euler320()</code> should return 278157919195482660.");'

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler320() {
  // Good luck!
  return true;
}

euler320();

```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>