| Base | Representation |
|---|---|
| bin | 1000100100011101… |
| … | …1100111010000000 |
| 3 | 12221022200001110012 |
| 4 | 2021013130322000 |
| 5 | 14202402311000 |
| 6 | 1020134124052 |
| 7 | 111002230556 |
| oct | 21107347200 |
| 9 | 5838601405 |
| 10 | 2300432000 |
| 11 | a80596679 |
| 12 | 5424b0628 |
| 13 | 2a8796989 |
| 14 | 17b741bd6 |
| 15 | d6e59735 |
| hex | 891dce80 |
2300432000 has 128 divisors (see below), whose sum is σ = 5815676880. Its totient is φ = 904704000.
The previous prime is 2300431997. The next prime is 2300432003. The reversal of 2300432000 is 2340032.
It is an interprime number because it is at equal distance from previous prime (2300431997) and next prime (2300432003).
It can be written as a sum of positive squares in 8 ways, for example, as 193989184 + 2106442816 = 13928^2 + 45896^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is not an unprimeable number, because it can be changed into a prime (2300432003) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 974822 + ... + 977178.
Almost surely, 22300432000 is an apocalyptic number.
2300432000 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 2300432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907838440).
2300432000 is an abundant number, since it is smaller than the sum of its proper divisors (3515244880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300432000 is an equidigital number, since it uses as much as digits as its factorization.
2300432000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2447 (or 2425 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 2300432000 is about 47962.8189330027. The cubic root of 2300432000 is about 1320.0887604838.
Adding to 2300432000 its reverse (2340032), we get a palindrome (2302772032).
The spelling of 2300432000 in words is "two billion, three hundred million, four hundred thirty-two thousand".
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