Base | Representation |
---|---|
bin | 10010001000011… |
… | …110110011010000 |
3 | 210012102122001120 |
4 | 102020132303100 |
5 | 1110334310300 |
6 | 50104202240 |
7 | 10352524644 |
oct | 2210366320 |
9 | 705378046 |
10 | 304213200 |
11 | 1467a1975 |
12 | 85a69380 |
13 | 4b044715 |
14 | 2c58cc24 |
15 | 1ba923a0 |
hex | 1221ecd0 |
304213200 has 120 divisors (see below), whose sum is σ = 987139200. Its totient is φ = 80071680.
The previous prime is 304213159. The next prime is 304213201. The reversal of 304213200 is 2312403.
304213200 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 (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 304213200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (304213201) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93196 + ... + 96404.
It is an arithmetic number, because the mean of its divisors is an integer number (8226160).
Almost surely, 2304213200 is an apocalyptic number.
304213200 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 304213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493569600).
304213200 is an abundant number, since it is smaller than the sum of its proper divisors (682926000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
304213200 is a wasteful number, since it uses less digits than its factorization.
304213200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3309 (or 3298 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 304213200 is about 17441.7086318973. The cubic root of 304213200 is about 672.5522317239.
Adding to 304213200 its reverse (2312403), we get a palindrome (306525603).
The spelling of 304213200 in words is "three hundred four million, two hundred thirteen thousand, two hundred".
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