17346

17346 is a five-digit integer. It is an even number, as its last digit is 6. In terms of prime factorization, 17346 is equal to 2 multiplied by 3 squared, multiplied by 963. Further breaking down 963, we find it is divisible by 3, resulting in 321. 321 is then divisible by 3 again, yielding 107. 107 is a prime number. Therefore, the prime factorization of 17346 is 2 x 3 x 3 x 3 x 107, or 2 x 3^3 x 107. It is not a perfect square or a perfect cube.

In Roman numerals, 17346 would be represented as XVII CCC XL VI. This is derived by breaking down the number into its place values: 10000 (X), 7000 (VII), 300 (CCC), 40 (XL), and 6 (VI). The combination of these elements forms the Roman numeral representation.

The number 17346 does not hold any widely recognized significance in history, mathematics, or popular culture. It is simply a numerical value.