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380653392 = 243717103647
BaseRepresentation
bin10110101100000…
…100111101010000
3222112021012021210
4112230010331100
51234421402032
6101434420120
712301333440
oct2654047520
9875235253
10380653392
11185961589
12a7591640
1360b296c2
14387aa120
15236412cc
hex16b04f50

380653392 has 160 divisors (see below), whose sum is σ = 1203351552. Its totient is φ = 101210112.

The previous prime is 380653387. The next prime is 380653421. The reversal of 380653392 is 293356083.

It is a super-2 number, since 2×3806533922 = 289794009682211328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 380653392.

It is a congruent number.

It is an unprimeable number.

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, 588013 + ... + 588659.

Almost surely, 2380653392 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 380653392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601675776).

380653392 is an abundant number, since it is smaller than the sum of its proper divisors (822698160).

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

380653392 is a wasteful number, since it uses less digits than its factorization.

380653392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 380653392 is about 19510.3406428489. The cubic root of 380653392 is about 724.7305487790.

The spelling of 380653392 in words is "three hundred eighty million, six hundred fifty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 103 112 119 136 168 204 206 238 272 309 336 357 408 412 476 618 647 714 721 816 824 952 1236 1294 1428 1442 1648 1751 1904 1941 2163 2472 2588 2856 2884 3502 3882 4326 4529 4944 5176 5253 5712 5768 7004 7764 8652 9058 10352 10506 10999 11536 12257 13587 14008 15528 17304 18116 21012 21998 24514 27174 28016 31056 32997 34608 36232 36771 42024 43996 49028 54348 65994 66641 72464 73542 76993 84048 87992 98056 108696 131988 133282 147084 153986 175984 196112 199923 217392 230979 263976 266564 294168 307972 399846 461958 466487 527952 533128 588336 615944 799692 923916 932974 1066256 1132897 1231888 1399461 1599384 1847832 1865948 2265794 2798922 3198768 3398691 3695664 3731896 4531588 5597844 6797382 7463792 7930279 9063176 11195688 13594764 15860558 18126352 22391376 23790837 27189528 31721116 47581674 54379056 63442232 95163348 126884464 190326696 380653392