It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 349 309 is not a prime number.
For example, 349 309 can be divided by 163: 349 309 / 163 = 2 143.
For 349 309 to be a prime number, it would have been required that 349 309 has only two divisors, i.e., itself and 1.
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349 309 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 349 309 is about 591.024.
Thus, the square root of 349 309 is not an integer, and therefore 349 309 is not a square number.
The square of a number (here 349 309) is the result of the product of this number (349 309) by itself (i.e., 349 309 × 349 309); the square of 349 309 is sometimes called "raising 349 309 to the power 2", or "349 309 squared".
The square of 349 309 is 122 016 777 481 because 349 309 × 349 309 = 349 3092 = 122 016 777 481.
As a consequence, 349 309 is the square root of 122 016 777 481.
The multiples of 349 309 are all integers evenly divisible by 349 309, that is all numbers such that the remainder of the division by 349 309 is zero. There are infinitely many multiples of 349 309. The smallest multiples of 349 309 are: