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Given a positive integer $k$, find the number of triples of positive integers $(a, b, c)$ such that $a \cdot b \cdot c \le k$. Two triples that only differ in the order of numbers are also distinguished. \InputFile One integer $k~(1 \le k \le 2 \cdot 10^5)$. \OutputFile Print the number of triples of positive integers $(a, b, c)$ such that $a \cdot b \cdot c \le k$.
Time limit 1 second
Memory limit 128 MiB
Input example #1
2
Output example #1
4
Input example #2
10
Output example #2
53