Base | Representation |
---|---|
bin | 10101101100110010… |
… | …100100111100010000 |
3 | 2020010211010101022002 |
4 | 111230302210330100 |
5 | 340204302044240 |
6 | 14412012333132 |
7 | 1453253011133 |
oct | 255462447420 |
9 | 66124111262 |
10 | 23300034320 |
11 | 9977297712 |
12 | 46231741a8 |
13 | 227429c774 |
14 | 11b06b021a |
15 | 915828d15 |
hex | 56cca4f10 |
23300034320 has 80 divisors (see below), whose sum is σ = 55546788528. Its totient is φ = 9084026880.
The previous prime is 23300034259. The next prime is 23300034323. The reversal of 23300034320 is 2343000332.
It can be written as a sum of positive squares in 8 ways, for example, as 3386308864 + 19913725456 = 58192^2 + 141116^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 23300034292 and 23300034301.
It is not an unprimeable number, because it can be changed into a prime (23300034323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4251422 + ... + 4256898.
Almost surely, 223300034320 is an apocalyptic number.
23300034320 is a gapful number since it is divisible by the number (20) 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 23300034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27773394264).
23300034320 is an abundant number, since it is smaller than the sum of its proper divisors (32246754208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23300034320 is a wasteful number, since it uses less digits than its factorization.
23300034320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6828 (or 6822 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 20.
Adding to 23300034320 its reverse (2343000332), we get a palindrome (25643034652).
The spelling of 23300034320 in words is "twenty-three billion, three hundred million, thirty-four thousand, three hundred twenty".
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