It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 340 729 is not a prime number.
For example, 340 729 can be divided by 71: 340 729 / 71 = 4 799.
For 340 729 to be a prime number, it would have been required that 340 729 has only two divisors, i.e., itself and 1.
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340 729 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 340 729 is about 583.720.
Thus, the square root of 340 729 is not an integer, and therefore 340 729 is not a square number.
The square of a number (here 340 729) is the result of the product of this number (340 729) by itself (i.e., 340 729 × 340 729); the square of 340 729 is sometimes called "raising 340 729 to the power 2", or "340 729 squared".
The square of 340 729 is 116 096 251 441 because 340 729 × 340 729 = 340 7292 = 116 096 251 441.
As a consequence, 340 729 is the square root of 116 096 251 441.
The multiples of 340 729 are all integers evenly divisible by 340 729, that is all numbers such that the remainder of the division by 340 729 is zero. There are infinitely many multiples of 340 729. The smallest multiples of 340 729 are: