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Find the smallest positive integer nnn such that the first 10 digits of n3\sqrt[3]{n}3n contain all the digits from 0 to 9 exactly once each.
Clarification: For example, the first 4 digits of 23=1.25992…\sqrt[3]{2} = 1.25992\ldots32=1.25992… are 1, 2, 5, and 9.
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