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23034672 = 243371751
BaseRepresentation
bin101011111011…
…1101100110000
31121100021122000
41113313230300
521344102142
62141414000
7366535323
oct127675460
947307560
1023034672
1112003321
12786a300
134a067ab
1430b87ba
15205014c
hex15f7b30

23034672 has 80 divisors (see below), whose sum is σ = 67138560. Its totient is φ = 7560000.

The previous prime is 23034629. The next prime is 23034679. The reversal of 23034672 is 27643032.

It is a super-2 number, since 2×230346722 = 1061192228295168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23034679) 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, 30297 + ... + 31047.

It is an arithmetic number, because the mean of its divisors is an integer number (839232).

Almost surely, 223034672 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 23034672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33569280).

23034672 is an abundant number, since it is smaller than the sum of its proper divisors (44103888).

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

23034672 is a wasteful number, since it uses less digits than its factorization.

23034672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 23034672 is about 4799.4449679104. Note that the first 3 decimals coincide. The cubic root of 23034672 is about 284.5295284929.

The spelling of 23034672 in words is "twenty-three million, thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 751 852 1136 1278 1502 1704 1917 2253 2556 3004 3408 3834 4506 5112 6008 6759 7668 9012 10224 12016 13518 15336 18024 20277 27036 30672 36048 40554 53321 54072 81108 106642 108144 159963 162216 213284 319926 324432 426568 479889 639852 853136 959778 1279704 1439667 1919556 2559408 2879334 3839112 5758668 7678224 11517336 23034672