Posted by **hemant** on Monday, May 6, 2013 at 1:39am.

For all positive integers n, let f3(n) be the representation of n in base 3, considered as a number in base 10. For example, since 5 in base 3 is 123, so f3(5)=12. What is the sum of all positive integers n such that f3(n)=8⋅n?

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