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3287075904 = 2634790583
BaseRepresentation
bin1100001111101100…
…1100110001000000
322111002012202110000
43003323030301000
523212442412104
61302101240000
7144312453450
oct30373146100
98432182400
103287075904
111437517862
12778a03000
13405008838
142327b3d60
1514389d639
hexc3eccc40

3287075904 has 140 divisors (see below), whose sum is σ = 11136034624. Its totient is φ = 939154176.

The previous prime is 3287075861. The next prime is 3287075921. The reversal of 3287075904 is 4095707823.

It is a self number, because there is not a number n which added to its sum of digits gives 3287075904.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9004 + ... + 81579.

Almost surely, 23287075904 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 3287075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568017312).

3287075904 is an abundant number, since it is smaller than the sum of its proper divisors (7848958720).

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

3287075904 is an equidigital number, since it uses as much as digits as its factorization.

3287075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90614 (or 90595 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3287075904 is about 57333.0262937515. The cubic root of 3287075904 is about 1486.8594277282.

The spelling of 3287075904 in words is "three billion, two hundred eighty-seven million, seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 90583 181166 271749 362332 543498 634081 724664 815247 1086996 1268162 1449328 1630494 1902243 2173992 2445741 2536324 2898656 3260988 3804486 4347984 4891482 5072648 5706729 5797312 6521976 7337223 7608972 8695968 9782964 10145296 11413458 13043952 14674446 15217944 17120187 17391936 19565928 20290592 22826916 26087904 29348892 30435888 34240374 39131856 40581184 45653832 51360561 52175808 58697784 60871776 68480748 78263712 91307664 102721122 117395568 121743552 136961496 156527424 182615328 205442244 234791136 273922992 365230656 410884488 469582272 547845984 821768976 1095691968 1643537952 3287075904