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23267328 = 21137541
BaseRepresentation
bin101100011000…
…0100000000000
31121210002202220
41120300200000
521424023303
62150411040
7401524530
oct130604000
947702686
1023267328
11121520a7
127960a80
134a88666
1431394c0
152099053
hex1630800

23267328 has 96 divisors (see below), whose sum is σ = 71023680. Its totient is φ = 6635520.

The previous prime is 23267327. The next prime is 23267351. The reversal of 23267328 is 82376232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23267323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42738 + ... + 43278.

It is an arithmetic number, because the mean of its divisors is an integer number (739830).

Almost surely, 223267328 is an apocalyptic number.

23267328 is a gapful number since it is divisible by the number (28) 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 23267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35511840).

23267328 is an abundant number, since it is smaller than the sum of its proper divisors (47756352).

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

23267328 is an equidigital number, since it uses as much as digits as its factorization.

23267328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 553 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 23267328 is about 4823.6218757278. The cubic root of 23267328 is about 285.4842613366.

The spelling of 23267328 in words is "twenty-three million, two hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 541 672 768 896 1024 1082 1344 1536 1623 1792 2048 2164 2688 3072 3246 3584 3787 4328 5376 6144 6492 7168 7574 8656 10752 11361 12984 14336 15148 17312 21504 22722 25968 30296 34624 43008 45444 51936 60592 69248 90888 103872 121184 138496 181776 207744 242368 276992 363552 415488 484736 553984 727104 830976 969472 1107968 1454208 1661952 1938944 2908416 3323904 3877888 5816832 7755776 11633664 23267328