Base | Representation |
---|---|
bin | 101101011101… |
… | …0101011010000 |
3 | 1122211212010200 |
4 | 1122322223100 |
5 | 22100131141 |
6 | 2210455200 |
7 | 406402554 |
oct | 132725320 |
9 | 48755120 |
10 | 23833296 |
11 | 124a9343 |
12 | 7b94500 |
13 | 4c26156 |
14 | 3245864 |
15 | 215bab6 |
hex | 16baad0 |
23833296 has 120 divisors (see below), whose sum is σ = 72733440. Its totient is φ = 7257600.
The previous prime is 23833289. The next prime is 23833297. The reversal of 23833296 is 69233832.
23833296 is a `hidden beast` number, since 238 + 332 + 96 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 23833296.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23833297) 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, 84676 + ... + 84956.
It is an arithmetic number, because the mean of its divisors is an integer number (606112).
Almost surely, 223833296 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 23833296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36366720).
23833296 is an abundant number, since it is smaller than the sum of its proper divisors (48900144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23833296 is a wasteful number, since it uses less digits than its factorization.
23833296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 345 (or 336 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 23833296 is about 4881.9356816738. The cubic root of 23833296 is about 287.7805040524.
The spelling of 23833296 in words is "twenty-three million, eight hundred thirty-three thousand, two hundred ninety-six".
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