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

--description--

Consider the number 50.

{50}^2 = 2500 = 2^2 × 5^4, so φ(2500) = 2 × 4 × 5^3 = 8 × 5^3 = 2^3 × 5^3. φ denotes Euler's totient function.

So 2500 is a square and φ(2500) is a cube.

Find the sum of all numbers n, 1 < n < {10}^{10} such that φ(n^2) is a cube.

--hints--

totientOfSquare() should return 5943040885644.

assert.strictEqual(totientOfSquare(), 5943040885644);

function totientOfSquare() {

  return true;
}

totientOfSquare();

// solution required