Base | Representation |
---|---|
bin | 10010001011010… |
… | …001100110000000 |
3 | 210020210211122010 |
4 | 102023101212000 |
5 | 1111031224121 |
6 | 50132012520 |
7 | 10361665020 |
oct | 2213214600 |
9 | 706724563 |
10 | 304945536 |
11 | 147152105 |
12 | 86161140 |
13 | 4b23cb5c |
14 | 2c6dda80 |
15 | 1bb89376 |
hex | 122d1980 |
304945536 has 128 divisors (see below), whose sum is σ = 948648960. Its totient is φ = 84971520.
The previous prime is 304945519. The next prime is 304945549. The reversal of 304945536 is 635549403.
304945536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 304945494 and 304945503.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108825 + ... + 111591.
It is an arithmetic number, because the mean of its divisors is an integer number (7411320).
Almost surely, 2304945536 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 304945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474324480).
304945536 is an abundant number, since it is smaller than the sum of its proper divisors (643703424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
304945536 is a wasteful number, since it uses less digits than its factorization.
304945536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2832 (or 2820 counting only the distinct ones).
The product of its (nonzero) digits is 194400, while the sum is 39.
The square root of 304945536 is about 17462.6898271715. The cubic root of 304945536 is about 673.0914801974.
The spelling of 304945536 in words is "three hundred four million, nine hundred forty-five thousand, five hundred thirty-six".
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