It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 350 309 is not a prime number.
For example, 350 309 can be divided by 137: 350 309 / 137 = 2 557.
For 350 309 to be a prime number, it would have been required that 350 309 has only two divisors, i.e., itself and 1.
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350 309 is an odd number, because it is not evenly divisible by 2.
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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 350 309 is about 591.869.
Thus, the square root of 350 309 is not an integer, and therefore 350 309 is not a square number.
The square of a number (here 350 309) is the result of the product of this number (350 309) by itself (i.e., 350 309 × 350 309); the square of 350 309 is sometimes called "raising 350 309 to the power 2", or "350 309 squared".
The square of 350 309 is 122 716 395 481 because 350 309 × 350 309 = 350 3092 = 122 716 395 481.
As a consequence, 350 309 is the square root of 122 716 395 481.
The multiples of 350 309 are all integers evenly divisible by 350 309, that is all numbers such that the remainder of the division by 350 309 is zero. There are infinitely many multiples of 350 309. The smallest multiples of 350 309 are: