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21904344 = 2334711439
BaseRepresentation
bin101001110001…
…1101111011000
31112012212010000
41103203233120
521101414334
62101253000
7354120030
oct123435730
945185100
1021904344
1111401070
127404160
1346cc167
142ca28c0
151dca299
hex14e3bd8

21904344 has 160 divisors (see below), whose sum is σ = 76665600. Its totient is φ = 5676480.

The previous prime is 21904343. The next prime is 21904361. The reversal of 21904344 is 44340912.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21904343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49677 + ... + 50115.

It is an arithmetic number, because the mean of its divisors is an integer number (479160).

Almost surely, 221904344 is an apocalyptic number.

21904344 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 21904344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38332800).

21904344 is an abundant number, since it is smaller than the sum of its proper divisors (54761256).

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

21904344 is a wasteful number, since it uses less digits than its factorization.

21904344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

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

The square root of 21904344 is about 4680.2076876993. The cubic root of 21904344 is about 279.7972341522.

The spelling of 21904344 in words is "twenty-one million, nine hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 439 462 504 567 594 616 648 693 756 792 878 891 924 1134 1188 1317 1386 1512 1756 1782 1848 2079 2268 2376 2634 2772 3073 3512 3564 3951 4158 4536 4829 5268 5544 6146 6237 7128 7902 8316 9219 9658 10536 11853 12292 12474 14487 15804 16632 18438 19316 23706 24584 24948 27657 28974 31608 33803 35559 36876 38632 43461 47412 49896 55314 57948 67606 71118 73752 82971 86922 94824 101409 110628 115896 130383 135212 142236 165942 173844 202818 221256 248913 260766 270424 284472 304227 331884 347688 391149 405636 497826 521532 608454 663768 782298 811272 912681 995652 1043064 1216908 1564596 1825362 1991304 2433816 2738043 3129192 3650724 5476086 7301448 10952172 21904344