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379743056 = 247113161163
BaseRepresentation
bin10110101000100…
…110101101010000
3222110112221112122
4112220212231100
51234203234211
6101403113412
712260522420
oct2650465520
9873487478
10379743056
1118539a640
12a7212868
136089b244
1438610480
15235116db
hex16a26b50

379743056 has 160 divisors (see below), whose sum is σ = 968318976. Its totient is φ = 139968000.

The previous prime is 379743053. The next prime is 379743073. The reversal of 379743056 is 650347973.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 379742998 and 379743016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379743053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2329631 + ... + 2329793.

Almost surely, 2379743056 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 379743056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484159488).

379743056 is an abundant number, since it is smaller than the sum of its proper divisors (588575920).

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

379743056 is a wasteful number, since it uses less digits than its factorization.

379743056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 44.

The square root of 379743056 is about 19486.9971006310. The cubic root of 379743056 is about 724.1523544130.

The spelling of 379743056 in words is "three hundred seventy-nine million, seven hundred forty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 61 62 77 88 112 122 124 154 163 176 217 244 248 308 326 341 427 434 488 496 616 652 671 682 854 868 976 1141 1232 1304 1342 1364 1708 1736 1793 1891 2282 2387 2608 2684 2728 3416 3472 3586 3782 4564 4697 4774 5053 5368 5456 6832 7172 7564 9128 9394 9548 9943 10106 10736 12551 13237 14344 15128 18256 18788 19096 19886 20212 20801 25102 26474 28688 30256 35371 37576 38192 39772 40424 41602 50204 52948 55583 69601 70742 75152 79544 80848 83204 100408 105896 109373 111166 139202 141484 145607 159088 166408 200816 211792 218746 222332 278404 282968 291214 308233 332816 389081 437492 444664 556808 565936 582428 616466 765611 778162 874984 889328 1113616 1164856 1232932 1531222 1556324 1749968 2157631 2329712 2465864 3062444 3112648 3390563 4315262 4931728 6124888 6225296 6781126 8630524 12249776 13562252 17261048 23733941 27124504 34522096 47467882 54249008 94935764 189871528 379743056