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381409512 = 233114759521
BaseRepresentation
bin10110101110111…
…101100011101000
3222120200121111020
4112232331203220
51240120101022
6101502532440
712310633041
oct2656754350
9876617436
10381409512
11186328680
12a7897120
1361032903
14389258c8
152374035c
hex16bbd8e8

381409512 has 128 divisors (see below), whose sum is σ = 1082419200. Its totient is φ = 110988800.

The previous prime is 381409499. The next prime is 381409519. The reversal of 381409512 is 215904183.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (381409519) by changing a digit.

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, 731812 + ... + 732332.

It is an arithmetic number, because the mean of its divisors is an integer number (8456400).

Almost surely, 2381409512 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 381409512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541209600).

381409512 is an abundant number, since it is smaller than the sum of its proper divisors (701009688).

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

381409512 is a wasteful number, since it uses less digits than its factorization.

381409512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 381409512 is about 19529.7084463645. The cubic root of 381409512 is about 725.2100933732.

The spelling of 381409512 in words is "three hundred eighty-one million, four hundred nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 59 66 88 94 118 132 141 177 188 236 264 282 354 376 472 517 521 564 649 708 1034 1042 1128 1298 1416 1551 1563 1947 2068 2084 2596 2773 3102 3126 3894 4136 4168 5192 5546 5731 6204 6252 7788 8319 11092 11462 12408 12504 15576 16638 17193 22184 22924 24487 30503 30739 33276 34386 45848 48974 61006 61478 66552 68772 73461 91509 92217 97948 122012 122956 137544 146922 183018 184434 195896 244024 245912 269357 293844 338129 366036 368868 538714 587688 676258 732072 737736 808071 1014387 1077428 1352516 1444733 1616142 2028774 2154856 2705032 2889466 3232284 4057548 4334199 5778932 6464568 8115096 8668398 11557864 15892063 17336796 31784126 34673592 47676189 63568252 95352378 127136504 190704756 381409512