Base | Representation |
---|---|
bin | 101100101110… |
… | …0100111000000 |
3 | 1122010021121110 |
4 | 1121130213000 |
5 | 22000314000 |
6 | 2154323320 |
7 | 403206342 |
oct | 131344700 |
9 | 48107543 |
10 | 23448000 |
11 | 12265914 |
12 | 7a29540 |
13 | 4b1c974 |
14 | 3185292 |
15 | 20d2850 |
hex | 165c9c0 |
23448000 has 112 divisors (see below), whose sum is σ = 77504544. Its totient is φ = 6246400.
The previous prime is 23447989. The next prime is 23448001. The reversal of 23448000 is 84432.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23448001) 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 15 ways as a sum of consecutive naturals, for example, 23512 + ... + 24488.
Almost surely, 223448000 is an apocalyptic number.
23448000 is a gapful number since it is divisible by the number (20) 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 23448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38752272).
23448000 is an abundant number, since it is smaller than the sum of its proper divisors (54056544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23448000 is an equidigital number, since it uses as much as digits as its factorization.
23448000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1007 (or 987 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 23448000 is about 4842.3134966667. The cubic root of 23448000 is about 286.2212902564.
The spelling of 23448000 in words is "twenty-three million, four hundred forty-eight thousand".
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