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23933364 = 223721331101
BaseRepresentation
bin101101101001…
…1000110110100
31200000221101220
41123103012310
522111331424
62212550340
7410300400
oct133230664
950027356
1023933364
1112567544
1280223b0
134c5c870
143270100
15217b579
hex16d31b4

23933364 has 144 divisors (see below), whose sum is σ = 72930816. Its totient is φ = 6048000.

The previous prime is 23933347. The next prime is 23933401. The reversal of 23933364 is 46333932.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236914 + ... + 237014.

It is an arithmetic number, because the mean of its divisors is an integer number (506464).

Almost surely, 223933364 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 23933364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36465408).

23933364 is an abundant number, since it is smaller than the sum of its proper divisors (48997452).

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

23933364 is a wasteful number, since it uses less digits than its factorization.

23933364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its digits is 34992, while the sum is 33.

The square root of 23933364 is about 4892.1737499807. The cubic root of 23933364 is about 288.1827062124.

The spelling of 23933364 in words is "twenty-three million, nine hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 101 124 147 156 182 186 196 202 217 273 294 303 364 372 403 404 434 546 588 606 637 651 707 806 868 1092 1209 1212 1274 1302 1313 1414 1519 1612 1911 2121 2418 2548 2604 2626 2821 2828 3038 3131 3822 3939 4242 4557 4836 4949 5252 5642 6076 6262 7644 7878 8463 8484 9114 9191 9393 9898 11284 12524 14847 15756 16926 18228 18382 18786 19747 19796 21917 27573 29694 33852 36764 37572 39494 40703 43834 55146 59241 59388 64337 65751 78988 81406 87668 110292 118482 122109 128674 131502 153419 162812 193011 236964 244218 257348 263004 284921 306838 386022 460257 488436 569842 613676 772044 854763 920514 1139684 1709526 1841028 1994447 3419052 3988894 5983341 7977788 11966682 23933364