It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 340 509 is not a prime number.
For example, 340 509 can be divided by 3: 340 509 / 3 = 113 503.
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For 340 509 to be a prime number, it would have been required that 340 509 has only two divisors, i.e., itself and 1.
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340 509 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 340 509 is about 583.531.
Thus, the square root of 340 509 is not an integer, and therefore 340 509 is not a square number.
The square of a number (here 340 509) is the result of the product of this number (340 509) by itself (i.e., 340 509 × 340 509); the square of 340 509 is sometimes called "raising 340 509 to the power 2", or "340 509 squared".
The square of 340 509 is 115 946 379 081 because 340 509 × 340 509 = 340 5092 = 115 946 379 081.
As a consequence, 340 509 is the square root of 115 946 379 081.
The multiples of 340 509 are all integers evenly divisible by 340 509, that is all numbers such that the remainder of the division by 340 509 is zero. There are infinitely many multiples of 340 509. The smallest multiples of 340 509 are: