Base | Representation |
---|---|
bin | 10010001000111… |
… | …011110111000000 |
3 | 210012122200022212 |
4 | 102020323313000 |
5 | 1110402112344 |
6 | 50110521252 |
7 | 10353531650 |
oct | 2210736700 |
9 | 705580285 |
10 | 304332224 |
11 | 146873339 |
12 | 85b06228 |
13 | 4b086951 |
14 | 2c5c0360 |
15 | 1bab779e |
hex | 1223bdc0 |
304332224 has 56 divisors (see below), whose sum is σ = 700552320. Its totient is φ = 128468736.
The previous prime is 304332221. The next prime is 304332227. The reversal of 304332224 is 422233403.
It is an interprime number because it is at equal distance from previous prime (304332221) and next prime (304332227).
It is a tau number, because it is divible by the number of its divisors (56).
It is a self number, because there is not a number n which added to its sum of digits gives 304332224.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (304332221) 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, 24947 + ... + 35085.
Almost surely, 2304332224 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 304332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350276160).
304332224 is an abundant number, since it is smaller than the sum of its proper divisors (396220096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
304332224 is a wasteful number, since it uses less digits than its factorization.
304332224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10225 (or 10215 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 23.
The square root of 304332224 is about 17445.1203492553. The cubic root of 304332224 is about 672.6399327389.
Adding to 304332224 its reverse (422233403), we get a palindrome (726565627).
The spelling of 304332224 in words is "three hundred four million, three hundred thirty-two thousand, two hundred twenty-four".
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