| Base | Representation |
|---|---|
| bin | 10010011101101… |
| … | …001000100010000 |
| 3 | 210120212110012200 |
| 4 | 102131221010100 |
| 5 | 1113244312042 |
| 6 | 50423123200 |
| 7 | 10450630113 |
| oct | 2235510420 |
| 9 | 716773180 |
| 10 | 309760272 |
| 11 | 149940528 |
| 12 | 878a3500 |
| 13 | 4c237503 |
| 14 | 2d1d457a |
| 15 | 1c2dac4c |
| hex | 12769110 |
309760272 has 60 divisors (see below), whose sum is σ = 872777100. Its totient is φ = 102553344.
The previous prime is 309760201. The next prime is 309760279. The reversal of 309760272 is 272067903.
309760272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 220344336 = 9456^2 + 14844^2 .
It is a super-2 number, since 2×3097602722 = 191902852219027968, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (309760279) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14238 + ... + 28674.
It is an arithmetic number, because the mean of its divisors is an integer number (14546285).
Almost surely, 2309760272 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 309760272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436388550).
309760272 is an abundant number, since it is smaller than the sum of its proper divisors (563016828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
309760272 is a wasteful number, since it uses less digits than its factorization.
309760272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14600 (or 14591 counting only the distinct ones).
The product of its (nonzero) digits is 31752, while the sum is 36.
The square root of 309760272 is about 17600.0077272710. The cubic root of 309760272 is about 676.6154426942.
The spelling of 309760272 in words is "three hundred nine million, seven hundred sixty thousand, two hundred seventy-two".
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