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VII Lusophon Mathematical Olympiad 2017 - Problem 4

Source: VII Lusophon Mathematical Olympiad 2017 - Problem 4

July 29, 2017
number theoryDigits

Problem Statement

Find how many multiples of 360 are of the form ab2017cd\overline{ab2017cd}, where a, b, c, d are digits, with a > 0.