Base | Representation |
---|---|
bin | 101100100110… |
… | …1000110000000 |
3 | 1122000001102200 |
4 | 1121031012000 |
5 | 21441300243 |
6 | 2153113200 |
7 | 402523143 |
oct | 131150600 |
9 | 48001380 |
10 | 23384448 |
11 | 1222209a |
12 | 79b8800 |
13 | 4ac9a69 |
14 | 316a05a |
15 | 20bdad3 |
hex | 164d180 |
23384448 has 96 divisors (see below), whose sum is σ = 68739840. Its totient is φ = 7627776.
The previous prime is 23384437. The next prime is 23384453. The reversal of 23384448 is 84448332.
It is a tau number, because it is divible by the number of its divisors (96).
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 congruent number.
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, 60865 + ... + 61247.
It is an arithmetic number, because the mean of its divisors is an integer number (716040).
Almost surely, 223384448 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 23384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369920).
23384448 is an abundant number, since it is smaller than the sum of its proper divisors (45355392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23384448 is a wasteful number, since it uses less digits than its factorization.
23384448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 456 (or 441 counting only the distinct ones).
The product of its digits is 73728, while the sum is 36.
The square root of 23384448 is about 4835.7468916394. The cubic root of 23384448 is about 285.9624708283.
It can be divided in two parts, 23384 and 448, that added together give a palindrome (23832).
The spelling of 23384448 in words is "twenty-three million, three hundred eighty-four thousand, four hundred forty-eight".
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