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23438016 = 263275813
BaseRepresentation
bin101100101101…
…0001011000000
31122002202220200
41121122023000
522000004031
62154205200
7403135260
oct131321300
948082820
1023438016
1112259368
127a23800
134b18264
1431817a0
1520ce8e6
hex165a2c0

23438016 has 84 divisors (see below), whose sum is σ = 76791312. Its totient is φ = 6695424.

The previous prime is 23437987. The next prime is 23438027. The reversal of 23438016 is 61083432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126 + ... + 6938.

Almost surely, 223438016 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 23438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38395656).

23438016 is an abundant number, since it is smaller than the sum of its proper divisors (53353296).

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

23438016 is a wasteful number, since it uses less digits than its factorization.

23438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23438016 is about 4841.2824747168. The cubic root of 23438016 is about 286.1806607920.

The spelling of 23438016 in words is "twenty-three million, four hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5813 11626 17439 23252 34878 40691 46504 52317 69756 81382 93008 104634 122073 139512 162764 186016 209268 244146 279024 325528 366219 372032 418536 488292 558048 651056 732438 837072 976584 1116096 1302112 1464876 1674144 1953168 2604224 2929752 3348288 3906336 5859504 7812672 11719008 23438016