Number theory · Decimal representation · Divisibility · Last digits · Prime factorization

Problem 1, 2002

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The smallest natural number whose square ends in three fours is \(38\), because \(38^2 = 1444\). Which natural number is the next smallest one with this property?

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2002, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source