It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 345 338 is not a prime number.
For example, 345 338 can be divided by 2: 345 338 / 2 = 172 669.
For 345 338 to be a prime number, it would have been required that 345 338 has only two divisors, i.e., itself and 1.
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345 338 is an even number, because it is evenly divisible by 2: 345 338 / 2 = 172 669.
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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 345 338 is about 587.655.
Thus, the square root of 345 338 is not an integer, and therefore 345 338 is not a square number.
The square of a number (here 345 338) is the result of the product of this number (345 338) by itself (i.e., 345 338 × 345 338); the square of 345 338 is sometimes called "raising 345 338 to the power 2", or "345 338 squared".
The square of 345 338 is 119 258 334 244 because 345 338 × 345 338 = 345 3382 = 119 258 334 244.
As a consequence, 345 338 is the square root of 119 258 334 244.
The multiples of 345 338 are all integers evenly divisible by 345 338, that is all numbers such that the remainder of the division by 345 338 is zero. There are infinitely many multiples of 345 338. The smallest multiples of 345 338 are: