# How long is this street?

Let the houses on a street from left to right are numbered 1 through $$n$$ in that order. There is a house on the street situated in such a way that the sum of cubes of house numbers to its left is equal to the sum of cubes of house numbers to its right. If $$1\le n\le 10^7$$, give the sum of all possible values of $$n$$?

Assume that if there is no house at any side (left or right), the sum of that side is taken to be 0.

Bonus: What are the solutions for $$n>10^7$$?

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