#arc113a. [arc113_a]A*B*C
[arc113_a]A*B*C
Problem Statement
Given a positive integer , find the number of triples of positive integers such that . Two triples that only differ in the order of numbers are also distinguished.
Constraints
- is an integer.
Input
Input is given from Standard Input in the following format:
Output
Print the number of triples of positive integers such that .
Sample Input 1
2
Sample Output 1
4
We have the following triples: .
Sample Input 2
10
Sample Output 2
53
Sample Input 3
31415
Sample Output 3
1937281