OMM 2008 Problem 1

Sean $1 = d_1 < d_2 < d_3 < \ldots < d_k = n$ los divisores del entero positivo $n$ . Encuentra todos los números $n$ tales que $n = d_2^2 + d_3^3$ .

Official text Mexican Mathematical Olympiad 2008 official paper, page 1. Quoted with source.

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