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364890313 is a prime number
BaseRepresentation
bin10101101111111…
…100100011001001
3221102121100102001
4111233330203021
51221402442223
6100112511001
712020342104
oct2557744311
9842540361
10364890313
11177a75547
12a224b461
135a79a938
143666573b
152207a9ad
hex15bfc8c9

364890313 has 2 divisors, whose sum is σ = 364890314. Its totient is φ = 364890312.

The previous prime is 364890293. The next prime is 364890341. The reversal of 364890313 is 313098463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 335329344 + 29560969 = 18312^2 + 5437^2 .

It is an emirp because it is prime and its reverse (313098463) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-364890313 is a prime.

It is not a weakly prime, because it can be changed into another prime (364890373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182445156 + 182445157.

It is an arithmetic number, because the mean of its divisors is an integer number (182445157).

Almost surely, 2364890313 is an apocalyptic number.

It is an amenable number.

364890313 is a deficient number, since it is larger than the sum of its proper divisors (1).

364890313 is an equidigital number, since it uses as much as digits as its factorization.

364890313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 364890313 is about 19102.1023188549. The cubic root of 364890313 is about 714.5853549679.

It can be divided in two parts, 3648 and 90313, that added together give a triangular number (93961 = T433).

The spelling of 364890313 in words is "three hundred sixty-four million, eight hundred ninety thousand, three hundred thirteen".