Base | Representation |
---|---|
bin | 101100011101… |
… | …1101110100000 |
3 | 1121212102212000 |
4 | 1120323232200 |
5 | 21432011222 |
6 | 2151404000 |
7 | 402105561 |
oct | 130735640 |
9 | 47772760 |
10 | 23313312 |
11 | 12183700 |
12 | 7983600 |
13 | 4aa3579 |
14 | 314c168 |
15 | 20a79ac |
hex | 163bba0 |
23313312 has 144 divisors (see below), whose sum is σ = 75075840. Its totient is φ = 7032960.
The previous prime is 23313299. The next prime is 23313331. The reversal of 23313312 is 21331332.
23313312 is a `hidden beast` number, since 2 + 331 + 331 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104433 + ... + 104655.
It is an arithmetic number, because the mean of its divisors is an integer number (521360).
Almost surely, 223313312 is an apocalyptic number.
23313312 is a gapful number since it is divisible by the number (22) 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 23313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537920).
23313312 is an abundant number, since it is smaller than the sum of its proper divisors (51762528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23313312 is a wasteful number, since it uses less digits than its factorization.
23313312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 264 (or 239 counting only the distinct ones).
The product of its digits is 324, while the sum is 18.
The square root of 23313312 is about 4828.3860657574. The cubic root of 23313312 is about 285.6722082797.
Adding to 23313312 its reverse (21331332), we get a palindrome (44644644).
The spelling of 23313312 in words is "twenty-three million, three hundred thirteen thousand, three hundred twelve".
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