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23673460434 = 2313312417703
BaseRepresentation
bin10110000011000011…
…000101011011010010
32021002211210101121220
4112003003011123102
5341440401213214
614513032225510
71465436044041
oct260303053322
967084711556
1023673460434
11a049062238
12470823b296
132303768670
141208118558
159384dd9a9
hex5830c56d2

23673460434 has 96 divisors (see below), whose sum is σ = 53978908032. Its totient is φ = 6876345600.

The previous prime is 23673460427. The next prime is 23673460439. The reversal of 23673460434 is 43406437632.

It is not an unprimeable number, because it can be changed into a prime (23673460439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3069427 + ... + 3077129.

It is an arithmetic number, because the mean of its divisors is an integer number (562280292).

Almost surely, 223673460434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23673460434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989454016).

23673460434 is an abundant number, since it is smaller than the sum of its proper divisors (30305447598).

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

23673460434 is a wasteful number, since it uses less digits than its factorization.

23673460434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 23673460434 in words is "twenty-three billion, six hundred seventy-three million, four hundred sixty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 41 62 78 82 93 123 186 246 403 533 806 961 1066 1209 1271 1599 1922 2418 2542 2883 3198 3813 5766 7626 7703 12493 15406 16523 23109 24986 33046 37479 39401 46218 49569 74958 78802 99138 100139 118203 200278 236406 238793 300417 315823 477586 512213 600834 631646 716379 947469 1024426 1432758 1536639 1894938 3073278 3104309 4105699 6208618 7402583 8211398 9312927 9790513 12317097 14805166 18625854 19581026 22207749 24634194 29371539 44415498 58743078 96233579 127276669 192467158 254553338 288700737 303505903 381830007 577401474 607011806 763660014 910517709 1821035418 3945576739 7891153478 11836730217 23673460434