Base | Representation |
---|---|
bin | 101100101101… |
… | …1110111100100 |
3 | 1122010010110000 |
4 | 1121123313210 |
5 | 22000214324 |
6 | 2154301300 |
7 | 403164444 |
oct | 131336744 |
9 | 48103400 |
10 | 23444964 |
11 | 12263604 |
12 | 7a27830 |
13 | 4b1b47a |
14 | 3184124 |
15 | 20d19c9 |
hex | 165bde4 |
23444964 has 45 divisors (see below), whose sum is σ = 61518457. Its totient is φ = 7785936.
The previous prime is 23444951. The next prime is 23444977. The reversal of 23444964 is 46944432.
The square root of 23444964 is 4842.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (23444951) and next prime (23444977).
It can be written as a sum of positive squares in only one way, i.e., 1542564 + 21902400 = 1242^2 + 4680^2 .
It is a super-2 number, since 2×234449642 = 1099332673922592, which contains 22 as substring.
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 Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 87022 + ... + 87290.
Almost surely, 223444964 is an apocalyptic number.
23444964 is the 4842-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23444964
23444964 is an abundant number, since it is smaller than the sum of its proper divisors (38073493).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23444964 is an equidigital number, since it uses as much as digits as its factorization.
23444964 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 554 (or 274 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The cubic root of 23444964 is about 286.2089366037.
Multiplying 23444964 by its sum of digits (36), we get a square (844018704 = 290522).
23444964 divided by its sum of digits (36) gives a square (651249 = 8072).
Multiplying 23444964 by its product of digits (82944), we get a square (1944619094016 = 13944962).
The spelling of 23444964 in words is "twenty-three million, four hundred forty-four thousand, nine hundred sixty-four".
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