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3-digit number wanted

Source: Flanders Math Olympiad 2018 p4

December 24, 2022
number theoryDigits

Problem Statement

Determine all three-digit numbers N such that N2N^2 has six digits and so that the sum of the number formed by the first three digits of N2N^2 and the number formed by the latter three digits of N2N^2 equals NN.
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