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21344904 = 2333719743
BaseRepresentation
bin101000101101…
…1001010001000
31111011102201000
41101123022020
520431014104
62041255000
7346300020
oct121331210
944142630
1021344904
1111059819
127194460
134564629
142b98a80
151d19639
hex145b288

21344904 has 128 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 5769792.

The previous prime is 21344903. The next prime is 21344929. The reversal of 21344904 is 40944312.

21344904 is a `hidden beast` number, since 213 + 449 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21344903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28357 + ... + 29099.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 221344904 is an apocalyptic number.

21344904 is a gapful number since it is divisible by the number (24) 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 21344904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

21344904 is an abundant number, since it is smaller than the sum of its proper divisors (50079096).

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

21344904 is a wasteful number, since it uses less digits than its factorization.

21344904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 21344904 is about 4620.0545451326. The cubic root of 21344904 is about 277.3946422540.

The spelling of 21344904 in words is "twenty-one million, three hundred forty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 743 756 798 1026 1064 1197 1368 1486 1512 1596 2052 2229 2394 2972 3192 3591 4104 4458 4788 5201 5944 6687 7182 8916 9576 10402 13374 14117 14364 15603 17832 20061 20804 26748 28234 28728 31206 40122 41608 42351 46809 53496 56468 62412 80244 84702 93618 98819 112936 124824 127053 140427 160488 169404 187236 197638 254106 280854 296457 338808 374472 381159 395276 508212 561708 592914 762318 790552 889371 1016424 1123416 1185828 1524636 1778742 2371656 2668113 3049272 3557484 5336226 7114968 10672452 21344904