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1312114304 = 2723445691
BaseRepresentation
bin100111000110101…
…0100011010000000
310101102222022110002
41032031110122000
510141400124204
6334111055132
744341534064
oct11615243200
93342868402
101312114304
11613721996
123075114a8
1317bab9cc7
14c6395aa4
157a2d491e
hex4e354680

1312114304 has 32 divisors (see below), whose sum is σ = 2727635040. Its totient is φ = 627531520.

The previous prime is 1312114301. The next prime is 1312114319. The reversal of 1312114304 is 4034112131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13121143042 = 3443287893522808832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312114301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219902 + ... + 225789.

It is an arithmetic number, because the mean of its divisors is an integer number (85238595).

Almost surely, 21312114304 is an apocalyptic number.

It is an amenable number.

1312114304 is an abundant number, since it is smaller than the sum of its proper divisors (1415520736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312114304 is an equidigital number, since it uses as much as digits as its factorization.

1312114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445728 (or 445716 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1312114304 is about 36223.1183638295. The cubic root of 1312114304 is about 1094.7725260194.

Adding to 1312114304 its reverse (4034112131), we get a palindrome (5346226435).

The spelling of 1312114304 in words is "one billion, three hundred twelve million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 445691 891382 1782764 3565528 7131056 10250893 14262112 20501786 28524224 41003572 57048448 82007144 164014288 328028576 656057152 1312114304