SP20174 DIVCNT3 - Counting Divisors (cube)

Description

Let $ \sigma_0(n) $ be the number of positive divisors of $ n $ . For example, $ \sigma_0(1) = 1 $ , $ \sigma_0(2) = 2 $ and $ \sigma_0(6) = 4 $ . Let $$ S_3(n) = \sum _{i=1}^n \sigma_0(i^3). $$ Given $ N $ , find $ S_3(N) $ .

Input Format

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Output Format

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