| Base | Representation |
|---|---|
| bin | 101100110010… |
| … | …1100111000000 |
| 3 | 1122012011011210 |
| 4 | 1121211213000 |
| 5 | 22003003424 |
| 6 | 2155210120 |
| 7 | 403421664 |
| oct | 131454700 |
| 9 | 48164153 |
| 10 | 23484864 |
| 11 | 12290587 |
| 12 | 7a46940 |
| 13 | 4b33690 |
| 14 | 31948a4 |
| 15 | 20dd729 |
| hex | 16659c0 |
23484864 has 84 divisors (see below), whose sum is σ = 67613784. Its totient is φ = 7151616.
The previous prime is 23484847. The next prime is 23484869. The reversal of 23484864 is 46848432.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23484869) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242064 + ... + 242160.
It is an arithmetic number, because the mean of its divisors is an integer number (804926).
Almost surely, 223484864 is an apocalyptic number.
23484864 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 23484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33806892).
23484864 is an abundant number, since it is smaller than the sum of its proper divisors (44128920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23484864 is an equidigital number, since it uses as much as digits as its factorization.
23484864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222 (or 115 counting only the distinct ones).
The product of its digits is 147456, while the sum is 39.
The square root of 23484864 is about 4846.1184467572. The cubic root of 23484864 is about 286.3712069095.
Multiplying 23484864 by its sum of digits (39), we get a square (915909696 = 302642).
23484864 divided by its sum of digits (39) gives a square (602176 = 7762).
The spelling of 23484864 in words is "twenty-three million, four hundred eighty-four thousand, eight hundred sixty-four".
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