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18664368 = 2431789257
BaseRepresentation
bin100011100110…
…0101110110000
31022010020200220
41013030232300
514234224433
61504013040
7314434032
oct107145660
938106626
1018664368
11a5988a8
126301180
133b36508
14269bc52
15198a2b3
hex11ccbb0

18664368 has 80 divisors (see below), whose sum is σ = 51827040. Its totient is φ = 5767168.

The previous prime is 18664367. The next prime is 18664411. The reversal of 18664368 is 86346681.

It is a happy number.

It is a super-3 number, since 3×186643683 (a number of 23 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18664363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72496 + ... + 72752.

It is an arithmetic number, because the mean of its divisors is an integer number (647838).

Almost surely, 218664368 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 18664368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25913520).

18664368 is an abundant number, since it is smaller than the sum of its proper divisors (33162672).

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

18664368 is a wasteful number, since it uses less digits than its factorization.

18664368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 18664368 is about 4320.2277717732. The cubic root of 18664368 is about 265.2595913578.

The spelling of 18664368 in words is "eighteen million, six hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 89 102 136 178 204 257 267 272 356 408 514 534 712 771 816 1028 1068 1424 1513 1542 2056 2136 3026 3084 4112 4272 4369 4539 6052 6168 8738 9078 12104 12336 13107 17476 18156 22873 24208 26214 34952 36312 45746 52428 68619 69904 72624 91492 104856 137238 182984 209712 274476 365968 388841 548952 777682 1097904 1166523 1555364 2333046 3110728 4666092 6221456 9332184 18664368