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3009032096 = 25717592227
BaseRepresentation
bin1011001101011010…
…0010111110100000
321202201000200001012
42303112202332200
522130303011341
61214330000052
7134365231220
oct26326427640
97681020035
103009032096
11130457a394
126bb876028
1338c527685
142078b8080
1512927a0eb
hexb35a2fa0

3009032096 has 144 divisors (see below), whose sum is σ = 7324261056. Its totient is φ = 1187899392.

The previous prime is 3009032093. The next prime is 3009032111. The reversal of 3009032096 is 6902309003.

3009032096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3009032093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13255535 + ... + 13255761.

It is an arithmetic number, because the mean of its divisors is an integer number (50862924).

Almost surely, 23009032096 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 3009032096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662130528).

3009032096 is an abundant number, since it is smaller than the sum of its proper divisors (4315228960).

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

3009032096 is a wasteful number, since it uses less digits than its factorization.

3009032096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 3009032096 is about 54854.6451633770. The cubic root of 3009032096 is about 1443.6955131302.

The spelling of 3009032096 in words is "three billion, nine million, thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 59 68 112 118 119 136 224 227 236 238 272 413 454 472 476 544 826 908 944 952 1003 1589 1652 1816 1888 1904 2006 3178 3304 3481 3632 3808 3859 4012 6356 6608 6962 7021 7264 7718 8024 12712 13216 13393 13924 14042 15436 16048 24367 25424 26786 27013 27848 28084 30872 32096 48734 50848 53572 54026 55696 56168 59177 61744 93751 97468 107144 108052 111392 112336 118354 123488 187502 194936 214288 216104 224672 227681 236708 375004 389872 414239 428576 432208 455362 473416 750008 779744 790187 828478 864416 910724 946832 1500016 1580374 1593767 1656956 1821448 1893664 3000032 3160748 3187534 3313912 3642896 5531309 6321496 6375068 6627824 7285792 11062618 12642992 12750136 13255648 13433179 22125236 25285984 25500272 26866358 44250472 51000544 53732716 88500944 94032253 107465432 177001888 188064506 214930864 376129012 429861728 752258024 1504516048 3009032096