47 lines
733 B
Markdown
47 lines
733 B
Markdown
---
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id: 5900f4c31000cf542c50ffd5
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title: 'Problem 342: The totient of a square is a cube'
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challengeType: 5
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forumTopicId: 302001
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dashedName: problem-342-the-totient-of-a-square-is-a-cube
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---
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# --description--
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Consider the number 50.
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502 = 2500 = 22 × 54, so φ(2500) = 2 × 4 × 53 = 8 × 53 = 23 × 53. 1
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So 2500 is a square and φ(2500) is a cube.
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Find the sum of all numbers n, 1 < n < 1010 such that φ(n2) is a cube.
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1 φ denotes Euler's totient function.
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# --hints--
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`euler342()` should return 5943040885644.
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```js
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assert.strictEqual(euler342(), 5943040885644);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler342() {
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return true;
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}
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euler342();
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```
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# --solutions--
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```js
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// solution required
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```
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