Base | Representation |
---|---|
bin | 1000100101010100… |
… | …0100001111001100 |
3 | 12221120101101011100 |
4 | 2021111010033030 |
5 | 14204311012342 |
6 | 1020342423100 |
7 | 111044454000 |
oct | 21125041714 |
9 | 5846341140 |
10 | 2304000972 |
11 | a82604039 |
12 | 543731a90 |
13 | 2a94462b0 |
14 | 17bdd0700 |
15 | d7411e4c |
hex | 895443cc |
2304000972 has 288 divisors, whose sum is σ = 7566540800. Its totient is φ = 586776960.
The previous prime is 2304000953. The next prime is 2304000977. The reversal of 2304000972 is 2790004032.
It is not an unprimeable number, because it can be changed into a prime (2304000977) 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 95 ways as a sum of consecutive naturals, for example, 4976013 + ... + 4976475.
Almost surely, 22304000972 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2304000972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783270400).
2304000972 is an abundant number, since it is smaller than the sum of its proper divisors (5262539828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2304000972 is a wasteful number, since it uses less digits than its factorization.
2304000972 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 538 (or 519 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 2304000972 is about 48000.0101249989. The cubic root of 2304000972 is about 1320.7710852912.
The spelling of 2304000972 in words is "two billion, three hundred four million, nine hundred seventy-two", and thus it is an aban number.
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