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3023126832 = 243116797881
BaseRepresentation
bin1011010000110001…
…0100000100110000
321210200112202101110
42310030110010300
522142410024312
61215552033320
7134626103565
oct26414240460
97720482343
103023126832
111311526a30
12704532840
13392420c5b
1420970686c
1512a61143c
hexb4314130

3023126832 has 160 divisors (see below), whose sum is σ = 8745940224. Its totient is φ = 892108800.

The previous prime is 3023126819. The next prime is 3023126857. The reversal of 3023126832 is 2386213203.

It is a self number, because there is not a number n which added to its sum of digits gives 3023126832.

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 31 ways as a sum of consecutive naturals, for example, 3431032 + ... + 3431912.

Almost surely, 23023126832 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 3023126832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372970112).

3023126832 is an abundant number, since it is smaller than the sum of its proper divisors (5722813392).

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

3023126832 is a wasteful number, since it uses less digits than its factorization.

3023126832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3023126832 is about 54982.9685630014. The cubic root of 3023126832 is about 1445.9461613038.

The spelling of 3023126832 in words is "three billion, twenty-three million, one hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 97 132 134 176 194 201 264 268 291 388 402 528 536 582 737 776 804 881 1067 1072 1164 1474 1552 1608 1762 2134 2211 2328 2643 2948 3201 3216 3524 4268 4422 4656 5286 5896 6402 6499 7048 8536 8844 9691 10572 11792 12804 12998 14096 17072 17688 19382 19497 21144 25608 25996 29073 35376 38764 38994 42288 51216 51992 58146 59027 71489 77528 77988 85457 103984 116292 118054 142978 155056 155976 170914 177081 214467 232584 236108 256371 285956 311952 341828 354162 428934 465168 472216 512742 571912 649297 683656 708324 857868 940027 944432 1025484 1143824 1298594 1367312 1416648 1715736 1880054 1947891 2050968 2597188 2820081 2833296 3431472 3760108 3895782 4101936 5194376 5640162 5725619 7520216 7791564 10388752 11280324 11451238 15040432 15583128 17176857 22560648 22902476 31166256 34353714 45121296 45804952 62981809 68707428 91609904 125963618 137414856 188945427 251927236 274829712 377890854 503854472 755781708 1007708944 1511563416 3023126832