Base | Representation |
---|---|
bin | 10010001000111… |
… | …001101000110000 |
3 | 210012122012211200 |
4 | 102020321220300 |
5 | 1110401314440 |
6 | 50110411200 |
7 | 10353463263 |
oct | 2210715060 |
9 | 705565750 |
10 | 304323120 |
11 | 146867512 |
12 | 85b00b00 |
13 | 4b08276a |
14 | 2c5bacda |
15 | 1bab4c30 |
hex | 12239a30 |
304323120 has 360 divisors, whose sum is σ = 1155301056. Its totient is φ = 71503872.
The previous prime is 304323109. The next prime is 304323127. The reversal of 304323120 is 21323403.
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×3043231202 = 185225122733068800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 304323093 and 304323102.
It is not an unprimeable number, because it can be changed into a prime (304323127) 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 71 ways as a sum of consecutive naturals, for example, 6474937 + ... + 6474983.
Almost surely, 2304323120 is an apocalyptic number.
304323120 is a gapful number since it is divisible by the number (30) 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 304323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577650528).
304323120 is an abundant number, since it is smaller than the sum of its proper divisors (850977936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
304323120 is a wasteful number, since it uses less digits than its factorization.
304323120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129 (or 97 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 304323120 is about 17444.8594147388. The cubic root of 304323120 is about 672.6332254034.
Adding to 304323120 its reverse (21323403), we get a palindrome (325646523).
The spelling of 304323120 in words is "three hundred four million, three hundred twenty-three thousand, one hundred twenty".
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