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381011616 = 253217591319
BaseRepresentation
bin10110101101011…
…100011010100000
3222112221101200100
4112231130122200
51240014332431
6101450222400
712304355016
oct2655343240
9875841610
10381011616
11186086737
12a7724a00
1360c2377b
14388608b6
15236b24e6
hex16b5c6a0

381011616 has 144 divisors (see below), whose sum is σ = 1167566400. Its totient is φ = 117417984.

The previous prime is 381011597. The next prime is 381011621. The reversal of 381011616 is 616110183.

381011616 is a `hidden beast` number, since 38 + 1 + 0 + 11 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 381011616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288205 + ... + 289523.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2381011616 is an apocalyptic number.

381011616 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 381011616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583783200).

381011616 is an abundant number, since it is smaller than the sum of its proper divisors (786554784).

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

381011616 is a wasteful number, since it uses less digits than its factorization.

381011616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 381011616 is about 19519.5188465290. The cubic root of 381011616 is about 724.9578198211.

Adding to 381011616 its reverse (616110183), we get a palindrome (997121799).

The spelling of 381011616 in words is "three hundred eighty-one million, eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 59 68 72 96 102 118 136 144 153 177 204 236 272 288 306 354 408 472 531 544 612 708 816 944 1003 1062 1224 1319 1416 1632 1888 2006 2124 2448 2638 2832 3009 3957 4012 4248 4896 5276 5664 6018 7914 8024 8496 9027 10552 11871 12036 15828 16048 16992 18054 21104 22423 23742 24072 31656 32096 36108 42208 44846 47484 48144 63312 67269 72216 77821 89692 94968 96288 126624 134538 144432 155642 179384 189936 201807 233463 269076 288864 311284 358768 379872 403614 466926 538152 622568 700389 717536 807228 933852 1076304 1245136 1322957 1400778 1614456 1867704 2152608 2490272 2645914 2801556 3228912 3735408 3968871 5291828 5603112 6457824 7470816 7937742 10583656 11206224 11906613 15875484 21167312 22412448 23813226 31750968 42334624 47626452 63501936 95252904 127003872 190505808 381011616