---
id: 5900f51e1000cf542c510030
title: 'Problem 432: Totient sum'
challengeType: 5
forumTopicId: 302103
dashedName: problem-432-totient-sum
---

# --description--

Let S(n,m) = ∑φ(n × i) for 1 ≤ i ≤ m. (φ is Euler's totient function)

You are given that S(510510,106 )= 45480596821125120.

Find S(510510,1011). Give the last 9 digits of your answer.

# --hints--

`euler432()` should return 754862080.

```js
assert.strictEqual(euler432(), 754862080);
```

# --seed--

## --seed-contents--

```js
function euler432() {

  return true;
}

euler432();
```

# --solutions--

```js
// solution required
```
