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130034304 = 2732112877
BaseRepresentation
bin1111100000000…
…10101010000000
3100001200102112100
413300002222000
5231242044204
620523030400
73136162521
oct760025200
9301612470
10130034304
1167445774
123766b400
1320c2b29a
14133ac848
15b638a39
hex7c02a80

130034304 has 48 divisors (see below), whose sum is σ = 374190570. Its totient is φ = 43344384.

The previous prime is 130034291. The next prime is 130034327. The reversal of 130034304 is 403430031.

It can be written as a sum of positive squares in only one way, i.e., 128867904 + 1166400 = 11352^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55287 + ... + 57590.

Almost surely, 2130034304 is an apocalyptic number.

It is an amenable number.

130034304 is an abundant number, since it is smaller than the sum of its proper divisors (244156266).

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

130034304 is a wasteful number, since it uses less digits than its factorization.

130034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112897 (or 112882 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 130034304 is about 11403.2584816797. The cubic root of 130034304 is about 506.6242562224.

Adding to 130034304 its reverse (403430031), we get a palindrome (533464335).

The spelling of 130034304 in words is "one hundred thirty million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 112877 225754 338631 451508 677262 903016 1015893 1354524 1806032 2031786 2709048 3612064 4063572 5418096 7224128 8127144 10836192 14448256 16254288 21672384 32508576 43344768 65017152 130034304