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381560976 = 24332833121
BaseRepresentation
bin10110101111100…
…010100010010000
3222120222022021000
4112233202202100
51240134422401
6101510102000
712312133446
oct2657424220
9876868230
10381560976
11186421455
12a794a900
1361086834
1438964b96
1523770186
hex16be2890

381560976 has 80 divisors (see below), whose sum is σ = 1099443520. Its totient is φ = 126696960.

The previous prime is 381560953. The next prime is 381560981. The reversal of 381560976 is 679065183.

It is a happy number.

381560976 is a `hidden beast` number, since 3 + 81 + 560 + 9 + 7 + 6 = 666.

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 15 ways as a sum of consecutive naturals, for example, 120696 + ... + 123816.

It is an arithmetic number, because the mean of its divisors is an integer number (13743044).

Almost surely, 2381560976 is an apocalyptic number.

381560976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381560976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549721760).

381560976 is an abundant number, since it is smaller than the sum of its proper divisors (717882544).

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

381560976 is a wasteful number, since it uses less digits than its factorization.

381560976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 381560976 is about 19533.5858459219. The cubic root of 381560976 is about 725.3060782933.

The spelling of 381560976 in words is "three hundred eighty-one million, five hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 283 432 566 849 1132 1698 2264 2547 3121 3396 4528 5094 6242 6792 7641 9363 10188 12484 13584 15282 18726 20376 24968 28089 30564 37452 40752 49936 56178 61128 74904 84267 112356 122256 149808 168534 224712 337068 449424 674136 883243 1348272 1766486 2649729 3532972 5299458 7065944 7949187 10598916 14131888 15898374 21197832 23847561 31796748 42395664 47695122 63593496 95390244 127186992 190780488 381560976