Base | Representation |
---|---|
bin | 10010001000001… |
… | …001110111010000 |
3 | 210012021021102021 |
4 | 102020021313100 |
5 | 1110324034230 |
6 | 50102301224 |
7 | 10352016631 |
oct | 2210116720 |
9 | 705237367 |
10 | 304127440 |
11 | 1467434a1 |
12 | 85a27814 |
13 | 4b014686 |
14 | 2c569888 |
15 | 1ba76c7a |
hex | 12209dd0 |
304127440 has 40 divisors (see below), whose sum is σ = 713603880. Its totient is φ = 120531456.
The previous prime is 304127431. The next prime is 304127443. The reversal of 304127440 is 44721403.
304127440 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 4 ways, for example, as 87684496 + 216442944 = 9364^2 + 14712^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (304127443) 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 7 ways as a sum of consecutive naturals, for example, 8719 + ... + 26158.
It is an arithmetic number, because the mean of its divisors is an integer number (17840097).
Almost surely, 2304127440 is an apocalyptic number.
304127440 is the 8720-th decagonal number.
It is an amenable number.
304127440 is an abundant number, since it is smaller than the sum of its proper divisors (409476440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
304127440 is a wasteful number, since it uses less digits than its factorization.
304127440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34999 (or 34993 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 25.
The square root of 304127440 is about 17439.2499838726. The cubic root of 304127440 is about 672.4890265987.
Adding to 304127440 its reverse (44721403), we get a palindrome (348848843).
The spelling of 304127440 in words is "three hundred four million, one hundred twenty-seven thousand, four hundred forty".
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