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303314369 is a prime number
BaseRepresentation
bin10010000101000…
…011010111000001
3210010201222002112
4102011003113001
51110122024434
650033025105
710342062311
oct2205032701
9703658075
10303314369
11146238636
12856b5195
134aabb577
142c3d7441
151b965dce
hex121435c1

303314369 has 2 divisors, whose sum is σ = 303314370. Its totient is φ = 303314368.

The previous prime is 303314329. The next prime is 303314371. The reversal of 303314369 is 963413303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209902144 + 93412225 = 14488^2 + 9665^2 .

It is a cyclic number.

It is not a de Polignac number, because 303314369 - 28 = 303314113 is a prime.

It is a super-2 number, since 2×3033143692 = 183999212883736322, which contains 22 as substring.

Together with 303314371, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (303314329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151657184 + 151657185.

It is an arithmetic number, because the mean of its divisors is an integer number (151657185).

Almost surely, 2303314369 is an apocalyptic number.

It is an amenable number.

303314369 is a deficient number, since it is larger than the sum of its proper divisors (1).

303314369 is an equidigital number, since it uses as much as digits as its factorization.

303314369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 32.

The square root of 303314369 is about 17415.9228581204. The cubic root of 303314369 is about 671.8892020477.

The spelling of 303314369 in words is "three hundred three million, three hundred fourteen thousand, three hundred sixty-nine".