It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 340 309 is not a prime number.
For example, 340 309 can be divided by 19: 340 309 / 19 = 17 911.
For 340 309 to be a prime number, it would have been required that 340 309 has only two divisors, i.e., itself and 1.
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340 309 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 340 309 is about 583.360.
Thus, the square root of 340 309 is not an integer, and therefore 340 309 is not a square number.
The square of a number (here 340 309) is the result of the product of this number (340 309) by itself (i.e., 340 309 × 340 309); the square of 340 309 is sometimes called "raising 340 309 to the power 2", or "340 309 squared".
The square of 340 309 is 115 810 215 481 because 340 309 × 340 309 = 340 3092 = 115 810 215 481.
As a consequence, 340 309 is the square root of 115 810 215 481.
The multiples of 340 309 are all integers evenly divisible by 340 309, that is all numbers such that the remainder of the division by 340 309 is zero. There are infinitely many multiples of 340 309. The smallest multiples of 340 309 are: