Base | Representation |
---|---|
bin | 101100110000… |
… | …1000111000000 |
3 | 1122011012220010 |
4 | 1121201013000 |
5 | 22001411212 |
6 | 2154544520 |
7 | 403314153 |
oct | 131410700 |
9 | 48135803 |
10 | 23466432 |
11 | 12278750 |
12 | 7a38140 |
13 | 4b28182 |
14 | 318bc9a |
15 | 20d803c |
hex | 16611c0 |
23466432 has 112 divisors (see below), whose sum is σ = 69640704. Its totient is φ = 6912000.
The previous prime is 23466431. The next prime is 23466437.
It is a happy number.
23466432 is nontrivially palindromic in base 10.
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 23466432.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23466431) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86457 + ... + 86727.
It is an arithmetic number, because the mean of its divisors is an integer number (621792).
Almost surely, 223466432 is an apocalyptic number.
23466432 is a gapful number since it is divisible by the number (22) 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 23466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34820352).
23466432 is an abundant number, since it is smaller than the sum of its proper divisors (46174272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23466432 is a wasteful number, since it uses less digits than its factorization.
23466432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 338 (or 328 counting only the distinct ones).
The product of its digits is 20736, while the sum is 30.
The square root of 23466432 is about 4844.2163452926. The cubic root of 23466432 is about 286.2962682086.
It can be divided in two parts, 2346 and 6432, that added together give a palindrome (8778).
The spelling of 23466432 in words is "twenty-three million, four hundred sixty-six thousand, four hundred thirty-two".
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