Base | Representation |
---|---|
bin | 101100000110… |
… | …1100110100000 |
3 | 1121111211200200 |
4 | 1120031212200 |
5 | 21404440014 |
6 | 2143345200 |
7 | 400361013 |
oct | 130154640 |
9 | 47454620 |
10 | 23124384 |
11 | 12064768 |
12 | 78b2200 |
13 | 4a3858a |
14 | 30dd37a |
15 | 206ba09 |
hex | 160d9a0 |
23124384 has 72 divisors (see below), whose sum is σ = 68638752. Its totient is φ = 7370880.
The previous prime is 23124359. The next prime is 23124449. The reversal of 23124384 is 48342132.
It is a tau number, because it is divible by the number of its divisors (72).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
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, 4879 + ... + 8369.
It is an arithmetic number, because the mean of its divisors is an integer number (953316).
Almost surely, 223124384 is an apocalyptic number.
23124384 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 23124384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34319376).
23124384 is an abundant number, since it is smaller than the sum of its proper divisors (45514368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23124384 is a wasteful number, since it uses less digits than its factorization.
23124384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3530 (or 3519 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 23124384 is about 4808.7819663611. The cubic root of 23124384 is about 284.8984310276.
The spelling of 23124384 in words is "twenty-three million, one hundred twenty-four thousand, three hundred eighty-four".
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