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380600976 = 24375973263
BaseRepresentation
bin10110101011111…
…000001010010000
3222112011112101110
4112223320022100
51234413212401
6101433333320
712301024560
oct2653701220
9875145343
10380600976
11185926168
12a7567240
1360b0b8a2
1438794da0
15236309d6
hex16af8290

380600976 has 160 divisors (see below), whose sum is σ = 1162782720. Its totient is φ = 105034752.

The previous prime is 380600953. The next prime is 380600993. The reversal of 380600976 is 679006083.

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, 1447021 + ... + 1447283.

It is an arithmetic number, because the mean of its divisors is an integer number (7267392).

Almost surely, 2380600976 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 380600976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581391360).

380600976 is an abundant number, since it is smaller than the sum of its proper divisors (782181744).

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

380600976 is a wasteful number, since it uses less digits than its factorization.

380600976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 380600976 is about 19508.9973089342. The cubic root of 380600976 is about 724.6972821021.

The spelling of 380600976 in words is "three hundred eighty million, six hundred thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 73 84 112 118 146 168 177 219 236 263 292 336 354 413 438 472 511 526 584 708 789 826 876 944 1022 1052 1168 1239 1416 1533 1578 1652 1752 1841 2044 2104 2478 2832 3066 3156 3304 3504 3682 4088 4208 4307 4956 5523 6132 6312 6608 7364 8176 8614 9912 11046 12264 12624 12921 14728 15517 17228 19199 19824 22092 24528 25842 29456 30149 31034 34456 38398 44184 46551 51684 57597 60298 62068 68912 76796 88368 90447 93102 103368 108619 115194 120596 124136 134393 153592 180894 186204 206736 217238 230388 241192 248272 268786 307184 325857 361788 372408 403179 434476 460776 482384 537572 651714 723576 744816 806358 868952 921552 1075144 1132741 1303428 1447152 1612716 1737904 2150288 2265482 2606856 3225432 3398223 4530964 5213712 6450864 6796446 7929187 9061928 13592892 15858374 18123856 23787561 27185784 31716748 47575122 54371568 63433496 95150244 126866992 190300488 380600976