MathDB

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Part of 2020 Costa Rica - Final Round

Problems(1)

4-digit number = cube of the sum of its digits

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2020 p1

3/26/2024
Find all the 44-digit natural numbers, written in base 1010, that are equal to the cube of the sum of its digits.
number theorysum of digits