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3057398960 = 245711245121
BaseRepresentation
bin1011011000111100…
…0011010010110000
321220002000221220112
42312033003102300
522230143231320
61223214400452
7135523314410
oct26617032260
97802027815
103057398960
111329905100
12713b00128
13399560615
142100a8640
1512d630ec5
hexb63c34b0

3057398960 has 120 divisors (see below), whose sum is σ = 8929824288. Its totient is φ = 952934400.

The previous prime is 3057398959. The next prime is 3057399013. The reversal of 3057398960 is 698937503.

It is a junction number, because it is equal to n+sod(n) for n = 3057398899 and 3057398908.

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, 45200 + ... + 90320.

Almost surely, 23057398960 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 3057398960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464912144).

3057398960 is an abundant number, since it is smaller than the sum of its proper divisors (5872425328).

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

3057398960 is a wasteful number, since it uses less digits than its factorization.

3057398960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45163 (or 45146 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The square root of 3057398960 is about 55293.7515457217. The cubic root of 3057398960 is about 1451.3897037279.

The spelling of 3057398960 in words is "three billion, fifty-seven million, three hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 3080 3388 4235 4840 6160 6776 8470 9680 13552 16940 33880 45121 67760 90242 180484 225605 315847 360968 451210 496331 631694 721936 902420 992662 1263388 1579235 1804840 1985324 2481655 2526776 3158470 3474317 3609680 3970648 4963310 5053552 5459641 6316940 6948634 7941296 9926620 10919282 12633880 13897268 17371585 19853240 21838564 25267760 27298205 27794536 34743170 38217487 39706480 43677128 54596410 55589072 69486340 76434974 87354256 109192820 138972680 152869948 191087435 218385640 277945360 305739896 382174870 436771280 611479792 764349740 1528699480 3057398960