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3130929024 = 2738239907
BaseRepresentation
bin1011101010011110…
…0010111110000000
322002012101200012020
42322213202332000
522403004212044
61234402401440
7140405312646
oct27247427600
98065350166
103130929024
111367367353
12734660280
133ab866b32
14219b69196
15134d07a19
hexba9e2f80

3130929024 has 64 divisors (see below), whose sum is σ = 8327475840. Its totient is φ = 1042269696.

The previous prime is 3130929019. The next prime is 3130929031. The reversal of 3130929024 is 4209290313.

3130929024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311079 + ... + 320985.

It is an arithmetic number, because the mean of its divisors is an integer number (130116810).

Almost surely, 23130929024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130929024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163737920).

3130929024 is an abundant number, since it is smaller than the sum of its proper divisors (5196546816).

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

3130929024 is an equidigital number, since it uses as much as digits as its factorization.

3130929024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10747 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3130929024 is about 55954.7051104731. The cubic root of 3130929024 is about 1462.9329021056.

The spelling of 3130929024 in words is "three billion, one hundred thirty million, nine hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 823 1646 2469 3292 4938 6584 9876 9907 13168 19752 19814 26336 29721 39504 39628 52672 59442 79008 79256 105344 118884 158016 158512 237768 316032 317024 475536 634048 951072 1268096 1902144 3804288 8153461 16306922 24460383 32613844 48920766 65227688 97841532 130455376 195683064 260910752 391366128 521821504 782732256 1043643008 1565464512 3130929024