Is 329428291 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 329 428 291 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 329 428 291, the only two divisors are 1 and 329 428 291. Therefore 329 428 291 is a prime number.
As a consequence, 329 428 291 is only a multiple of 1 and 329 428 291.
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Since 329428291 is a prime number, 329428291 is also a deficient number, that is to say 329428291 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 329428291 without 329428291 itself (that is 1, by definition!).