Base | Representation |
---|---|
bin | 101100101101… |
… | …1101010000000 |
3 | 1122010002020212 |
4 | 1121123222000 |
5 | 22000202341 |
6 | 2154253252 |
7 | 403162064 |
oct | 131335200 |
9 | 48102225 |
10 | 23444096 |
11 | 12262995 |
12 | 7a27228 |
13 | 4b1ac60 |
14 | 3183aa4 |
15 | 20d15eb |
hex | 165ba80 |
23444096 has 64 divisors (see below), whose sum is σ = 51250920. Its totient is φ = 10616832.
The previous prime is 23444089. The next prime is 23444131. The reversal of 23444096 is 69044432.
It can be written as a sum of positive squares in 4 ways, for example, as 13957696 + 9486400 = 3736^2 + 3080^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (32).
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 7 ways as a sum of consecutive naturals, for example, 121376 + ... + 121568.
Almost surely, 223444096 is an apocalyptic number.
23444096 is a gapful number since it is divisible by the number (26) 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 23444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25625460).
23444096 is an abundant number, since it is smaller than the sum of its proper divisors (27806824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23444096 is a wasteful number, since it uses less digits than its factorization.
23444096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 293 (or 281 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 32.
The square root of 23444096 is about 4841.9103667871. The cubic root of 23444096 is about 286.2054044675.
Adding to 23444096 its sum of digits (32), we get a triangular number (23444128 = T6847).
The spelling of 23444096 in words is "twenty-three million, four hundred forty-four thousand, ninety-six".
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