title: Problem 432 date: 2013/06/15 13:00:00 --- *** # [Problem 432](https://projecteuler.net/problem=432) *** [Xem đề gốc (tiếng Anh)](https://projecteuler.net/problem=432) ## **Tổng totient** Tính $\sum_{n=1}^{10^{15}} \varphi(n) \pmod{10^9}$. ***