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23034043032 = 233711213101863
BaseRepresentation
bin10101011100111011…
…111001101010011000
32012110021121121211220
4111130323321222120
5334133203334112
614325351252040
71443543064260
oct253473715230
965407547756
1023034043032
119850131500
12456a07a020
13223114b480
1411872307a0
158ec2d698c
hex55cef9a98

23034043032 has 384 divisors, whose sum is σ = 78765281280. Its totient is φ = 5461632000.

The previous prime is 23034043009. The next prime is 23034043033.

23034043032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23034042993 and 23034043011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23034043033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26690233 + ... + 26691095.

It is an arithmetic number, because the mean of its divisors is an integer number (205117920).

Almost surely, 223034043032 is an apocalyptic number.

23034043032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23034043032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382640640).

23034043032 is an abundant number, since it is smaller than the sum of its proper divisors (55731238248).

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

23034043032 is a wasteful number, since it uses less digits than its factorization.

23034043032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 230340 and 43032, that added together give a palindrome (273372).

The spelling of 23034043032 in words is "twenty-three billion, thirty-four million, forty-three thousand, thirty-two".