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23894304 = 253731237
BaseRepresentation
bin101101100100…
…1100100100000
31122221221211020
41123021210200
522104104204
62212045440
7410045460
oct133114440
948857736
1023894304
1112540165
128003880
134c47b55
14325dba0
15216ebd9
hex16c9920

23894304 has 144 divisors (see below), whose sum is σ = 76071744. Its totient is φ = 6428160.

The previous prime is 23894303. The next prime is 23894329. The reversal of 23894304 is 40349832.

It is not an unprimeable number, because it can be changed into a prime (23894303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645774 + ... + 645810.

It is an arithmetic number, because the mean of its divisors is an integer number (528276).

Almost surely, 223894304 is an apocalyptic number.

23894304 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 23894304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38035872).

23894304 is an abundant number, since it is smaller than the sum of its proper divisors (52177440).

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

23894304 is a wasteful number, since it uses less digits than its factorization.

23894304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 23894304 is about 4888.1800294179. The cubic root of 23894304 is about 288.0258464458.

The spelling of 23894304 in words is "twenty-three million, eight hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 37 42 48 56 62 74 84 93 96 111 112 124 148 168 186 217 222 224 248 259 296 336 372 434 444 496 518 592 651 672 744 777 868 888 961 992 1036 1147 1184 1302 1488 1554 1736 1776 1922 2072 2294 2604 2883 2976 3108 3441 3472 3552 3844 4144 4588 5208 5766 6216 6727 6882 6944 7688 8029 8288 9176 10416 11532 12432 13454 13764 15376 16058 18352 20181 20832 23064 24087 24864 26908 27528 30752 32116 35557 36704 40362 46128 48174 53816 55056 64232 71114 80724 92256 96348 106671 107632 110112 128464 142228 161448 192696 213342 215264 248899 256928 284456 322896 385392 426684 497798 568912 645792 746697 770784 853368 995596 1137824 1493394 1706736 1991192 2986788 3413472 3982384 5973576 7964768 11947152 23894304