---
id: 5900f4c31000cf542c50ffd5
challengeType: 5
title: 'Problem 342: The totient of a square is a cube'
forumTopicId: 302001
---

## Description
<section id='description'>
Consider the number 50.
502 = 2500 = 22 × 54, so φ(2500) = 2 × 4 × 53 = 8 × 53 = 23 × 53. 1
So 2500 is a square and  φ(2500) is a cube.


Find the sum of all numbers n, 1 &lt n < 1010 such that φ(n2) is a cube.


1 φ denotes Euler's totient function.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler342()</code> should return 5943040885644.
    testString: assert.strictEqual(euler342(), 5943040885644);

```

</section>

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

<div id='js-seed'>

```js
function euler342() {
  // Good luck!
  return true;
}

euler342();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>