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23978328 = 23311223359
BaseRepresentation
bin101101101111…
…0000101011000
31200010020002020
41123132011120
522114301303
62213534440
7410545443
oct133360530
950106066
1023978328
1112598300
128044420
134c7717a
14328265a
152189a53
hex16de158

23978328 has 96 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 6930880.

The previous prime is 23978327. The next prime is 23978329. The reversal of 23978328 is 82387932.

It is an interprime number because it is at equal distance from previous prime (23978327) and next prime (23978329).

It is a self number, because there is not a number n which added to its sum of digits gives 23978328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23978327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66613 + ... + 66971.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 223978328 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 23978328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

23978328 is an abundant number, since it is smaller than the sum of its proper divisors (44968872).

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

23978328 is a wasteful number, since it uses less digits than its factorization.

23978328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 23978328 is about 4896.7670967691. The cubic root of 23978328 is about 288.3630644904.

The spelling of 23978328 in words is "twenty-three million, nine hundred seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 359 363 484 506 552 718 726 759 968 1012 1077 1436 1452 1518 2024 2154 2783 2872 2904 3036 3949 4308 5566 6072 7898 8257 8349 8616 11132 11847 15796 16514 16698 22264 23694 24771 31592 33028 33396 43439 47388 49542 66056 66792 86878 90827 94776 99084 130317 173756 181654 198168 260634 272481 347512 363308 521268 544962 726616 999097 1042536 1089924 1998194 2179848 2997291 3996388 5994582 7992776 11989164 23978328