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23438304 = 253297839
BaseRepresentation
bin101100101101…
…0001111100000
31122002210022100
41121122033200
522000011204
62154210400
7403136151
oct131321740
948083270
1023438304
11122595aa
127a23a00
134b18426
143181928
1520cea39
hex165a3e0

23438304 has 72 divisors (see below), whose sum is σ = 67420080. Its totient is φ = 7723008.

The previous prime is 23438269. The next prime is 23438309. The reversal of 23438304 is 40383432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23438309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27517 + ... + 28355.

It is an arithmetic number, because the mean of its divisors is an integer number (936390).

Almost surely, 223438304 is an apocalyptic number.

23438304 is a gapful number since it is divisible by the number (24) 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 23438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33710040).

23438304 is an abundant number, since it is smaller than the sum of its proper divisors (43981776).

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

23438304 is a wasteful number, since it uses less digits than its factorization.

23438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23438304 is about 4841.3122188101. The cubic root of 23438304 is about 286.1818329574.

The spelling of 23438304 in words is "twenty-three million, four hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 839 873 1164 1552 1678 1746 2328 2517 3104 3356 3492 4656 5034 6712 6984 7551 9312 10068 13424 13968 15102 20136 26848 27936 30204 40272 60408 80544 81383 120816 162766 241632 244149 325532 488298 651064 732447 976596 1302128 1464894 1953192 2604256 2929788 3906384 5859576 7812768 11719152 23438304