
Problem 379
08 April 2012
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).