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12304961 = 294179131
BaseRepresentation
bin101110111100…
…001001000001
3212011011020022
4232330021001
511122224321
61115423225
7206406344
oct56741101
925134208
1012304961
116a44999
124154b15
13271aa56
1418c445b
151130dab
hexbbc241

12304961 has 16 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 11356800.

The previous prime is 12304949. The next prime is 12304973. The reversal of 12304961 is 16940321.

12304961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12304949) and next prime (12304973).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12304961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12304961.

It is not an unprimeable number, because it can be changed into a prime (12304921) 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 in 15 ways as a sum of consecutive naturals, for example, 93866 + ... + 93996.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 212304961 is an apocalyptic number.

It is an amenable number.

12304961 is a deficient number, since it is larger than the sum of its proper divisors (1000639).

12304961 is a wasteful number, since it uses less digits than its factorization.

12304961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 12304961 is about 3507.8427843904. The cubic root of 12304961 is about 230.8660542904.

The spelling of 12304961 in words is "twelve million, three hundred four thousand, nine hundred sixty-one".

Divisors: 1 29 41 79 131 1189 2291 3239 3799 5371 10349 93931 155759 300121 424309 12304961