Difference between revisions of "1998 IMO Shortlist Problems/N6"

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Latest revision as of 04:27, 16 August 2011

For any positive integer $n$, let $d(n)$ denote the number of positive divisors of $n$ (including $1$ and $n$). Determine all positive integers $k$ such that $d(n^2) = k d(n)$ for some $n$.