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383245056 = 2832181919
BaseRepresentation
bin10110110101111…
…101101100000000
3222201010212101100
4112311331230000
51241102320211
6102010134400
712332346345
oct2665755400
9881125340
10383245056
11187371757
12a8421400
136152622c
1438c827cc
15239a4156
hex16d7db00

383245056 has 108 divisors (see below), whose sum is σ = 1112303920. Its totient is φ = 126904320.

The previous prime is 383245039. The next prime is 383245069. The reversal of 383245056 is 650542383.

It is a happy number.

383245056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 383245056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416565 + ... + 417483.

Almost surely, 2383245056 is an apocalyptic number.

383245056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556151960).

383245056 is an abundant number, since it is smaller than the sum of its proper divisors (729058864).

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

383245056 is a wasteful number, since it uses less digits than its factorization.

383245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 383245056 is about 19576.6456779500. The cubic root of 383245056 is about 726.3715967599.

The spelling of 383245056 in words is "three hundred eighty-three million, two hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 384 543 576 724 768 919 1086 1152 1448 1629 1838 2172 2304 2757 2896 3258 3676 4344 5514 5792 6516 7352 8271 8688 11028 11584 13032 14704 16542 17376 22056 23168 26064 29408 33084 34752 44112 46336 52128 58816 66168 69504 88224 104256 117632 132336 139008 166339 176448 208512 235264 264672 332678 352896 417024 499017 529344 665356 705792 998034 1058688 1330712 1497051 1996068 2117376 2661424 2994102 3992136 5322848 5988204 7984272 10645696 11976408 15968544 21291392 23952816 31937088 42582784 47905632 63874176 95811264 127748352 191622528 383245056