Base | Representation |
---|---|
bin | 101100011010… |
… | …0110011010000 |
3 | 1121210222221100 |
4 | 1120310303100 |
5 | 21430104234 |
6 | 2151024400 |
7 | 401630064 |
oct | 130646320 |
9 | 47728840 |
10 | 23284944 |
11 | 12164361 |
12 | 796b100 |
13 | 4a93697 |
14 | 3141aa4 |
15 | 209e399 |
hex | 1634cd0 |
23284944 has 60 divisors (see below), whose sum is σ = 65851812. Its totient is φ = 7680000.
The previous prime is 23284889. The next prime is 23284997. The reversal of 23284944 is 44948232.
It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 360000 = 4788^2 + 600^2 .
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 junction number, because it is equal to n+sod(n) for n = 23284899 and 23284908.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 13744 + ... + 15344.
Almost surely, 223284944 is an apocalyptic number.
23284944 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 23284944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32925906).
23284944 is an abundant number, since it is smaller than the sum of its proper divisors (42566868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23284944 is a wasteful number, since it uses less digits than its factorization.
23284944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1716 (or 1707 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The square root of 23284944 is about 4825.4475440108. The cubic root of 23284944 is about 285.5562911243.
The spelling of 23284944 in words is "twenty-three million, two hundred eighty-four thousand, nine hundred forty-four".
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