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23383296 = 283317199
BaseRepresentation
bin101100100110…
…0110100000000
31121222222212000
41121030310000
521441231141
62153104000
7402516606
oct131146400
947888760
1023383296
1112221242
1279b8000
134ac9391
143169876
1520bd5b6
hex164cd00

23383296 has 144 divisors (see below), whose sum is σ = 73584000. Its totient is φ = 7299072.

The previous prime is 23383273. The next prime is 23383333. The reversal of 23383296 is 69238332.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23383296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117405 + ... + 117603.

It is an arithmetic number, because the mean of its divisors is an integer number (511000).

Almost surely, 223383296 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 23383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36792000).

23383296 is an abundant number, since it is smaller than the sum of its proper divisors (50200704).

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

23383296 is a wasteful number, since it uses less digits than its factorization.

23383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 23383296 is about 4835.6277772384. The cubic root of 23383296 is about 285.9577749128.

The spelling of 23383296 in words is "twenty-three million, three hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 199 204 216 256 272 288 306 384 398 408 432 459 544 576 597 612 768 796 816 864 918 1088 1152 1194 1224 1592 1632 1728 1791 1836 2176 2304 2388 2448 3184 3264 3383 3456 3582 3672 4352 4776 4896 5373 6368 6528 6766 6912 7164 7344 9552 9792 10149 10746 12736 13056 13532 14328 14688 19104 19584 20298 21492 25472 27064 28656 29376 30447 38208 39168 40596 42984 50944 54128 57312 58752 60894 76416 81192 85968 91341 108256 114624 117504 121788 152832 162384 171936 182682 216512 229248 243576 324768 343872 365364 433024 458496 487152 649536 687744 730728 866048 974304 1299072 1375488 1461456 1948608 2598144 2922912 3897216 5845824 7794432 11691648 23383296