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2022 A Individual #19

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April 28, 2022
2022 A Individual

Problem Statement

A three-digit number NN is equal to 3636 times the sum of its digits. Find the sum of all possible values of NN.
<spanclass=′latex−bold′>(A)</span>576<spanclass=′latex−bold′>(B)</span>648<spanclass=′latex−bold′>(C)</span>972<spanclass=′latex−bold′>(D)</span>1152<spanclass=′latex−bold′>(E)</span>1620<span class='latex-bold'>(A) </span>576\qquad<span class='latex-bold'>(B) </span>648\qquad<span class='latex-bold'>(C) </span>972\qquad<span class='latex-bold'>(D) </span>1152\qquad<span class='latex-bold'>(E) </span>1620
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