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Part of 2011 Thailand Mathematical Olympiad

Problems(1)

Find all n such that n = d (n) ^ 4

Source:

12/10/2013
Find all nn such that n=d(n)4n = d (n) ^ 4 Where d(n)d (n) is the number of divisors of nn, for example n=2⋅3⋅5  ⟹  d(n)=2⋅2⋅2n = 2 \cdot 3\cdot 5\implies d (n) = 2 \cdot 2\cdot 2.
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