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Funkcije u N | Functions in N #5

Neka je h(n) = \frac{d(n^2)}{\prod_{p \mid n} \left(v_p(n) + \frac{1}{2}\right)}

Odredi h(1000!).

Let h(n) = \frac{d(n^2)}{\prod_{p \mid n} \left(v_p(n) + \frac{1}{2}\right)}.

Determine h(1000!).