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23034312 = 2332726529
BaseRepresentation
bin101011111011…
…1100111001000
31121100021010200
41113313213020
521344044222
62141412200
7366534300
oct127674710
947307120
1023034312
1112003024
12786a060
134a06592
1430b8600
15204eeac
hex15f79c8

23034312 has 72 divisors (see below), whose sum is σ = 72580950. Its totient is φ = 6580224.

The previous prime is 23034311. The next prime is 23034331. The reversal of 23034312 is 21343032.

23034312 is a `hidden beast` number, since 230 + 3 + 431 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22524516 + 509796 = 4746^2 + 714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23034311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264 + ... + 6792.

Almost surely, 223034312 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 23034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36290475).

23034312 is an abundant number, since it is smaller than the sum of its proper divisors (49546638).

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

23034312 is a wasteful number, since it uses less digits than its factorization.

23034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23034312 is about 4799.4074634271. The cubic root of 23034312 is about 284.5280462177.

Adding to 23034312 its reverse (21343032), we get a palindrome (44377344).

The spelling of 23034312 in words is "twenty-three million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 6529 13058 19587 26116 39174 45703 52232 58761 78348 91406 117522 137109 156696 182812 235044 274218 319921 365624 411327 470088 548436 639842 822654 959763 1096872 1279684 1645308 1919526 2559368 2879289 3290616 3839052 5758578 7678104 11517156 23034312