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380914323408 = 2435113867007
BaseRepresentation
bin1011000101100000100…
…00110100111111010000
31100102012120111112200000
411202300100310333100
522220103031322113
6450553431530000
736343261220013
oct5426020647720
91312176445600
10380914323408
111375aa229063
12619a7529900
1329bc6503798
14146174c537a
159d96088373
hex58b0434fd0

380914323408 has 120 divisors (see below), whose sum is σ = 1115298283008. Its totient is φ = 125847654912.

The previous prime is 380914323359. The next prime is 380914323421. The reversal of 380914323408 is 804323419083.

380914323408 is a `hidden beast` number, since 3 + 80 + 9 + 143 + 23 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5841 + ... + 872847.

Almost surely, 2380914323408 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 380914323408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557649141504).

380914323408 is an abundant number, since it is smaller than the sum of its proper divisors (734383959600).

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

380914323408 is a wasteful number, since it uses less digits than its factorization.

380914323408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867143 (or 867125 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 380914323408 in words is "three hundred eighty billion, nine hundred fourteen million, three hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 904 972 1017 1296 1356 1808 1944 2034 2712 3051 3888 4068 5424 6102 8136 9153 12204 16272 18306 24408 27459 36612 48816 54918 73224 109836 146448 219672 439344 867007 1734014 2601021 3468028 5202042 6936056 7803063 10404084 13872112 15606126 20808168 23409189 31212252 41616336 46818378 62424504 70227567 93636756 97971791 124849008 140455134 187273512 195943582 210682701 280910268 293915373 374547024 391887164 421365402 561820536 587830746 783774328 842730804 881746119 1123641072 1175661492 1567548656 1685461608 1763492238 2351322984 2645238357 3370923216 3526984476 4702645968 5290476714 7053968952 7935715071 10580953428 14107937904 15871430142 21161906856 23807145213 31742860284 42323813712 47614290426 63485720568 95228580852 126971441136 190457161704 380914323408