Search a number
-
+
329336893 is a prime number
BaseRepresentation
bin10011101000010…
…100100000111101
3211221201001021201
4103220110200331
51133302240033
652402455501
711106213604
oct2350244075
9757631251
10329336893
111599a1756
1292364591
1353300002
1431a4ca3b
151dda647d
hex13a1483d

329336893 has 2 divisors, whose sum is σ = 329336894. Its totient is φ = 329336892.

The previous prime is 329336873. The next prime is 329336911. The reversal of 329336893 is 398633923.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249734809 + 79602084 = 15803^2 + 8922^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-329336893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (329336803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164668446 + 164668447.

It is an arithmetic number, because the mean of its divisors is an integer number (164668447).

Almost surely, 2329336893 is an apocalyptic number.

It is an amenable number.

329336893 is a deficient number, since it is larger than the sum of its proper divisors (1).

329336893 is an equidigital number, since it uses as much as digits as its factorization.

329336893 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 629856, while the sum is 46.

The square root of 329336893 is about 18147.6415272068. The cubic root of 329336893 is about 690.5791489881.

It can be divided in two parts, 3293368 and 93, that added together give a triangular number (3293461 = T2566).

The spelling of 329336893 in words is "three hundred twenty-nine million, three hundred thirty-six thousand, eight hundred ninety-three".