Base | Representation |
---|---|
bin | 11101011111011… |
… | …11000000000000 |
3 | 122020111221012000 |
4 | 32233233000000 |
5 | 1001313104204 |
6 | 40314304000 |
7 | 6062550123 |
oct | 1657570000 |
9 | 566457160 |
10 | 247394304 |
11 | 117714003 |
12 | 6aa28000 |
13 | 3c33c681 |
14 | 24bdc3ba |
15 | 16abc039 |
hex | ebef000 |
247394304 has 104 divisors (see below), whose sum is σ = 733258320. Its totient is φ = 82427904.
The previous prime is 247394297. The next prime is 247394309. The reversal of 247394304 is 403493742.
247394304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2473943042 = 122407883303288832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (247394309) 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 7 ways as a sum of consecutive naturals, for example, 109474 + ... + 111710.
Almost surely, 2247394304 is an apocalyptic number.
247394304 is a gapful number since it is divisible by the number (24) 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 247394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366629160).
247394304 is an abundant number, since it is smaller than the sum of its proper divisors (485864016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
247394304 is an equidigital number, since it uses as much as digits as its factorization.
247394304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2270 (or 2242 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The square root of 247394304 is about 15728.7731244366. The cubic root of 247394304 is about 627.7642291823.
The spelling of 247394304 in words is "two hundred forty-seven million, three hundred ninety-four thousand, three hundred four".
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