| Base | Representation |
|---|---|
| bin | 10101101110011010… |
| … | …100110111010000000 |
| 3 | 2020012201102220010000 |
| 4 | 111232122212322000 |
| 5 | 340233242232334 |
| 6 | 14414425040000 |
| 7 | 1454033552400 |
| oct | 255632467200 |
| 9 | 66181386100 |
| 10 | 23327305344 |
| 11 | 9990723852 |
| 12 | 4630326000 |
| 13 | 2279b2a575 |
| 14 | 11b416c800 |
| 15 | 917e14299 |
| hex | 56e6a6e80 |
23327305344 has 960 divisors, whose sum is σ = 89020130760. Its totient is φ = 6019743744.
The previous prime is 23327305279. The next prime is 23327305369. The reversal of 23327305344 is 44350372332.
23327305344 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 7 + 305 + 344 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 23320954944 + 6350400 = 152712^2 + 2520^2 .
It is a super-2 number, since 2×233273053442 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23327305299 and 23327305308.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319552092 + ... + 319552164.
Almost surely, 223327305344 is an apocalyptic number.
23327305344 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 23327305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44510065380).
23327305344 is an abundant number, since it is smaller than the sum of its proper divisors (65692825416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23327305344 is a wasteful number, since it uses less digits than its factorization.
23327305344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 167 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 181440, while the sum is 36.
Adding to 23327305344 its reverse (44350372332), we get a palindrome (67677677676).
The spelling of 23327305344 in words is "twenty-three billion, three hundred twenty-seven million, three hundred five thousand, three hundred forty-four".
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