Base | Representation |
---|---|
bin | 11111101000000000000000 |
3 | 120121012011022 |
4 | 133220000000 |
5 | 4110242204 |
6 | 453405012 |
7 | 130315661 |
oct | 37500000 |
9 | 16535138 |
10 | 8290304 |
11 | 47526a0 |
12 | 2939768 |
13 | 1943609 |
14 | 115b368 |
15 | adb5be |
hex | 7e8000 |
8290304 has 64 divisors (see below), whose sum is σ = 18874080. Its totient is φ = 3604480.
The previous prime is 8290297. The next prime is 8290309. The reversal of 8290304 is 4030928.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (8290309) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360437 + ... + 360459.
Almost surely, 28290304 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 8290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437040).
8290304 is an abundant number, since it is smaller than the sum of its proper divisors (10583776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8290304 is an equidigital number, since it uses as much as digits as its factorization.
8290304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 26.
The square root of 8290304 is about 2879.2888010757. The cubic root of 8290304 is about 202.3905133894.
The spelling of 8290304 in words is "eight million, two hundred ninety thousand, three hundred four".
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