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MathNet 2017-part-02 — 176 problems (EN–VI) Question 141

Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)

Question 141

For $n \in \mathbb{N}^{*}$, denote by $d(n)$ its number of divisors. Which positive integers satisfy $d(n)^{3}=4 n$?