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3042019584 = 28333114197
BaseRepresentation
bin1011010101010001…
…1000100100000000
321212000002121101000
42311110120210000
522212224111314
61221505012000
7135245511522
oct26524304400
97760077330
103042019584
11132116037a
1270a924000
133963073b6
1420c023a12
1512c0e4209
hexb5518900

3042019584 has 144 divisors (see below), whose sum is σ = 9286627840. Its totient is φ = 981227520.

The previous prime is 3042019549. The next prime is 3042019621. The reversal of 3042019584 is 4859102403.

3042019584 is a `hidden beast` number, since 30 + 42 + 0 + 1 + 9 + 584 = 666.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207174 + ... + 221370.

Almost surely, 23042019584 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 3042019584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643313920).

3042019584 is an abundant number, since it is smaller than the sum of its proper divisors (6244608256).

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

3042019584 is a wasteful number, since it uses less digits than its factorization.

3042019584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253 (or 14233 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3042019584 is about 55154.5064704599. The cubic root of 3042019584 is about 1448.9520107216.

The spelling of 3042019584 in words is "three billion, forty-two million, nineteen thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5952 6696 6912 7936 8928 11904 13392 14197 17856 23808 26784 28394 35712 42591 53568 56788 71424 85182 107136 113576 127773 170364 214272 227152 255546 340728 383319 440107 454304 511092 681456 766638 880214 908608 1022184 1320321 1362912 1533276 1760428 1817216 2044368 2640642 2725824 3066552 3520856 3634432 3960963 4088736 5281284 5451648 6133104 7041712 7921926 8177472 10562568 10903296 11882889 12266208 14083424 15843852 16354944 21125136 23765778 24532416 28166848 31687704 32709888 42250272 47531556 49064832 56333696 63375408 84500544 95063112 98129664 112667392 126750816 169001088 190126224 253501632 338002176 380252448 507003264 760504896 1014006528 1521009792 3042019584