Problem 379
Least common multiple count

Let f(n) be the number of couples (x,y) with x and y positive integers, x ≤y and the least common multiple of x and y equal to n.

Let g be the summatory function of f, i.e.: g(n) = ∑f(i) for 1 ≤i ≤n.

You are given that g(106) = 37429395.

Find g(1012).

These problems are part of Project Euler and are licensed under CC BY-NC-SA 2.0 UK