Base | Representation |
---|---|
bin | 10010011101110… |
… | …100011000110000 |
3 | 210120221210211000 |
4 | 102131310120300 |
5 | 1113302303030 |
6 | 50424122000 |
7 | 10451212233 |
oct | 2235643060 |
9 | 716853730 |
10 | 309806640 |
11 | 149972350 |
12 | 87906300 |
13 | 4c252650 |
14 | 2d20741a |
15 | 1c2e9860 |
hex | 12774630 |
309806640 has 640 divisors, whose sum is σ = 1349913600. Its totient is φ = 64143360.
The previous prime is 309806639. The next prime is 309806641. The reversal of 309806640 is 46608903.
309806640 is a `hidden beast` number, since 3 + 0 + 9 + 8 + 0 + 6 + 640 = 666.
309806640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (309806639) and next prime (309806641).
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 = 309806595 and 309806604.
It is not an unprimeable number, because it can be changed into a prime (309806641) 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 127 ways as a sum of consecutive naturals, for example, 5250931 + ... + 5250989.
It is an arithmetic number, because the mean of its divisors is an integer number (2109240).
Almost surely, 2309806640 is an apocalyptic number.
309806640 is a gapful number since it is divisible by the number (30) 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 309806640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).
309806640 is an abundant number, since it is smaller than the sum of its proper divisors (1040106960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
309806640 is a wasteful number, since it uses less digits than its factorization.
309806640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122 (or 110 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 309806640 is about 17601.3249501280. The cubic root of 309806640 is about 676.6492018540.
The spelling of 309806640 in words is "three hundred nine million, eight hundred six thousand, six hundred forty".
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