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23364096 = 29374153
BaseRepresentation
bin101100100100…
…0001000000000
31121222000111220
41121020020000
521440122341
62152435040
7402406620
oct131101000
947860456
1023364096
1112208878
1279a8a80
134ac0712
143162880
1520b7a66
hex1648200

23364096 has 160 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 6389760.

The previous prime is 23364083. The next prime is 23364097. The reversal of 23364096 is 69046332.

It is not an unprimeable number, because it can be changed into a prime (23364097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440806 + ... + 440858.

Almost surely, 223364096 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 23364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

23364096 is an abundant number, since it is smaller than the sum of its proper divisors (50881152).

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

23364096 is an equidigital number, since it uses as much as digits as its factorization.

23364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 23364096 is about 4833.6421050798. The cubic root of 23364096 is about 285.8794869377.

The spelling of 23364096 in words is "twenty-three million, three hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 53 56 64 82 84 96 106 112 123 128 159 164 168 192 212 224 246 256 287 318 328 336 371 384 424 448 492 512 574 636 656 672 742 768 848 861 896 984 1113 1148 1272 1312 1344 1484 1536 1696 1722 1792 1968 2173 2226 2296 2544 2624 2688 2968 3392 3444 3584 3936 4346 4452 4592 5088 5248 5376 5936 6519 6784 6888 7872 8692 8904 9184 10176 10496 10752 11872 13038 13568 13776 15211 15744 17384 17808 18368 20352 20992 23744 26076 27136 27552 30422 31488 34768 35616 36736 40704 45633 47488 52152 55104 60844 62976 69536 71232 73472 81408 91266 94976 104304 110208 121688 139072 142464 146944 182532 189952 208608 220416 243376 278144 284928 365064 417216 440832 486752 556288 569856 730128 834432 973504 1112576 1460256 1668864 1947008 2920512 3337728 3894016 5841024 7788032 11682048 23364096