Base | Representation |
---|---|
bin | 101100001000… |
… | …0000100000000 |
3 | 1121112100112000 |
4 | 1120100010000 |
5 | 21410300324 |
6 | 2143504000 |
7 | 400432263 |
oct | 130200400 |
9 | 47470460 |
10 | 23134464 |
11 | 120712a1 |
12 | 78b8000 |
13 | 4a40042 |
14 | 3102cda |
15 | 206e9c9 |
hex | 1610100 |
23134464 has 72 divisors (see below), whose sum is σ = 68433120. Its totient is φ = 7709184.
The previous prime is 23134459. The next prime is 23134511. The reversal of 23134464 is 46443132.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5239 + ... + 8585.
It is an arithmetic number, because the mean of its divisors is an integer number (950460).
Almost surely, 223134464 is an apocalyptic number.
23134464 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 23134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34216560).
23134464 is an abundant number, since it is smaller than the sum of its proper divisors (45298656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23134464 is an equidigital number, since it uses as much as digits as its factorization.
23134464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3372 (or 3352 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
The square root of 23134464 is about 4809.8299346235. The cubic root of 23134464 is about 284.9398210889.
Adding to 23134464 its reverse (46443132), we get a palindrome (69577596).
The spelling of 23134464 in words is "twenty-three million, one hundred thirty-four thousand, four hundred sixty-four".
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