Is there any solution for :

i=1 to n ∑ ⌊C/i⌋ = ?

where, Constraints of C and n are : 1 ≤ C,n ≤ 10^9.

I found solution for,

i=1 to n ∑ ⌊C/i⌋ = 2 * ( i=1 to k ∑ ⌊C/i⌋ ) − k^2

where k = ⌊√n⌋ and this solution is correct only for C=n.

Is there any solution exist for C<n in complexity O(sqrt(n)) or O(log(n)) or O(1) ?