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21634404 = 223111731311
BaseRepresentation
bin101001010000…
…1110101100100
31111201010211020
41102201311210
521014300104
62051411140
7351614031
oct122416544
944633736
1021634404
1111237280
1272b3ab0
13463632c
142c32388
151d752d9
hex14a1d64

21634404 has 96 divisors (see below), whose sum is σ = 60383232. Its totient is φ = 5952000.

The previous prime is 21634399. The next prime is 21634411. The reversal of 21634404 is 40443612.

21634404 = 932 + 942 + ... + 4032.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69409 + ... + 69719.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 221634404 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 21634404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616).

21634404 is an abundant number, since it is smaller than the sum of its proper divisors (38748828).

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

21634404 is a wasteful number, since it uses less digits than its factorization.

21634404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 21634404 is about 4651.2798238764. The cubic root of 21634404 is about 278.6431119742.

The spelling of 21634404 in words is "twenty-one million, six hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 311 341 372 374 527 561 622 682 748 933 1023 1054 1122 1244 1364 1581 1866 2046 2108 2244 3162 3421 3732 4092 5287 5797 6324 6842 9641 10263 10574 11594 13684 15861 17391 19282 20526 21148 23188 28923 31722 34782 38564 41052 57846 58157 63444 69564 106051 115692 116314 163897 174471 212102 232628 318153 327794 348942 424204 491691 636306 655588 697884 983382 1272612 1802867 1966764 3605734 5408601 7211468 10817202 21634404