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923050968 = 233753831249
BaseRepresentation
bin110111000001001…
…010001111011000
32101022212211212220
4313001022033120
53342300112333
6231332104040
731605542460
oct6701121730
92338784786
10923050968
11434046944
12219165020
13119307708
148a83aba0
15560818b3
hex3704a3d8

923050968 has 128 divisors (see below), whose sum is σ = 2721600000. Its totient is φ = 255430656.

The previous prime is 923050957. The next prime is 923050969. The reversal of 923050968 is 869050329.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (923050969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738408 + ... + 739656.

It is an arithmetic number, because the mean of its divisors is an integer number (21262500).

Almost surely, 2923050968 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 923050968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800000).

923050968 is an abundant number, since it is smaller than the sum of its proper divisors (1798549032).

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

923050968 is a wasteful number, since it uses less digits than its factorization.

923050968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 923050968 is about 30381.7538664245. The cubic root of 923050968 is about 973.6627621799.

The spelling of 923050968 in words is "nine hundred twenty-three million, fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 83 84 106 159 166 168 212 249 318 332 371 424 498 581 636 664 742 996 1113 1162 1249 1272 1484 1743 1992 2226 2324 2498 2968 3486 3747 4399 4452 4648 4996 6972 7494 8743 8798 8904 9992 13197 13944 14988 17486 17596 26229 26394 29976 30793 34972 35192 52458 52788 61586 66197 69944 92379 103667 104916 105576 123172 132394 184758 198591 207334 209832 246344 264788 311001 369516 397182 414668 463379 529576 622002 725669 739032 794364 829336 926758 1244004 1390137 1451338 1588728 1853516 2177007 2488008 2780274 2902676 3707032 4354014 5494351 5560548 5805352 8708028 10988702 11121096 16483053 17416056 21977404 32966106 38460457 43954808 65932212 76920914 115381371 131864424 153841828 230762742 307683656 461525484 923050968