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380697576 = 233743151349
BaseRepresentation
bin10110101100001…
…111101111101000
3222112100102220020
4112230033233220
51234424310301
6101435400440
712301606320
oct2654175750
9875312806
10380697576
111859917a6
12a75b3120
1360b4384c
14387bc280
152364e436
hex16b0fbe8

380697576 has 128 divisors (see below), whose sum is σ = 1123584000. Its totient is φ = 105235200.

The previous prime is 380697557. The next prime is 380697593. The reversal of 380697576 is 675796083.

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 31 ways as a sum of consecutive naturals, for example, 1090650 + ... + 1090998.

It is an arithmetic number, because the mean of its divisors is an integer number (8778000).

Almost surely, 2380697576 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 380697576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561792000).

380697576 is an abundant number, since it is smaller than the sum of its proper divisors (742886424).

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

380697576 is a wasteful number, since it uses less digits than its factorization.

380697576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 380697576 is about 19511.4729326107. The cubic root of 380697576 is about 724.7585885096.

The spelling of 380697576 in words is "three hundred eighty million, six hundred ninety-seven thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 151 168 172 258 301 302 344 349 453 516 602 604 698 903 906 1032 1047 1057 1204 1208 1396 1806 1812 2094 2114 2408 2443 2792 3171 3612 3624 4188 4228 4886 6342 6493 7224 7329 8376 8456 9772 12684 12986 14658 15007 19479 19544 25368 25972 29316 30014 38958 45021 45451 51944 52699 58632 60028 77916 90042 90902 105049 105398 120056 136353 155832 158097 180084 181804 210098 210796 272706 315147 316194 360168 363608 368893 420196 421592 545412 630294 632388 737786 840392 1090824 1106679 1260588 1264776 1475572 2213358 2266057 2521176 2951144 4426716 4532114 6798171 8853432 9064228 13596342 15862399 18128456 27192684 31724798 47587197 54385368 63449596 95174394 126899192 190348788 380697576