Is 346 a prime number? What are the divisors of 346?

## Parity of 346

346 is an even number, because it is evenly divisible by 2: 346 / 2 = 173.

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## Is 346 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 346 is about 18.601.

Thus, the square root of 346 is not an integer, and therefore 346 is not a square number.

## What is the square number of 346?

The square of a number (here 346) is the result of the product of this number (346) by itself (i.e., 346 × 346); the square of 346 is sometimes called "raising 346 to the power 2", or "346 squared".

The square of 346 is 119 716 because 346 × 346 = 3462 = 119 716.

As a consequence, 346 is the square root of 119 716.

## Number of digits of 346

346 is a number with 3 digits.

## What are the multiples of 346?

The multiples of 346 are all integers evenly divisible by 346, that is all numbers such that the remainder of the division by 346 is zero. There are infinitely many multiples of 346. The smallest multiples of 346 are:

## How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 346). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 18.601). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

## Numbers near 346

• Preceding numbers: …344, 345
• Following numbers: 347, 348

### Nearest numbers from 346

• Preceding prime number: 337
• Following prime number: 347
Find out whether some integer is a prime number