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3304842325920 = 2532517135001729
BaseRepresentation
bin110000000101110111111…
…100111110111110100000
3102200221101010212221120200
4300011313330332332200
5413121304113412140
611010120144305200
7460524034162632
oct60056774767640
912627333787520
103304842325920
111064637377123
12454601012200
131ac850932505
14b5d531b4a52
155ae770b1030
hex30177f3efa0

3304842325920 has 144 divisors (see below), whose sum is σ = 11941173021960. Its totient is φ = 829450616832.

The previous prime is 3304842325861. The next prime is 3304842325933. The reversal of 3304842325920 is 295232484033.

3304842325920 is a `hidden beast` number, since 3 + 30 + 4 + 8 + 4 + 23 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3131583258384 + 173259067536 = 1769628^2 + 416244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67476385 + ... + 67525344.

Almost surely, 23304842325920 is an apocalyptic number.

3304842325920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3304842325920 is an abundant number, since it is smaller than the sum of its proper divisors (8636330696040).

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

3304842325920 is a wasteful number, since it uses less digits than its factorization.

3304842325920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135001767 (or 135001756 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3304842325920 in words is "three trillion, three hundred four billion, eight hundred forty-two million, three hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 135001729 270003458 405005187 540006916 675008645 810010374 1080013832 1215015561 1350017290 1620020748 2025025935 2160027664 2295029393 2430031122 2700034580 3240041496 4050051870 4320055328 4590058786 4860062244 5400069160 6075077805 6480082992 6885088179 8100103740 9180117572 9720124488 10800138320 11475146965 12150155610 12960165984 13770176358 16200207480 18360235144 19440248976 20655264537 21600276640 22950293930 24300311220 27540352716 32400414960 34425440895 36720470288 38880497952 41310529074 45900587860 48600622440 55080705432 64800829920 68850881790 73440940576 82621058148 91801175720 97201244880 103276322685 110161410864 137701763580 165242116296 183602351440 194402489760 206552645370 220322821728 275403527160 330484232592 367204702880 413105290740 550807054320 660968465184 826210581480 1101614108640 1652421162960 3304842325920