Base | Representation |
---|---|
bin | 10010010000111… |
… | …010010101000000 |
3 | 210100120220110212 |
4 | 102100322111000 |
5 | 1111421014404 |
6 | 50223413252 |
7 | 10410360551 |
oct | 2220722500 |
9 | 710526425 |
10 | 306423104 |
11 | 147a71239 |
12 | 86754228 |
13 | 4b639560 |
14 | 2c9a6328 |
15 | 1bd7c06e |
hex | 1243a540 |
306423104 has 56 divisors (see below), whose sum is σ = 667283400. Its totient is φ = 138737664.
The previous prime is 306423101. The next prime is 306423109. The reversal of 306423104 is 401324603.
It is a happy number.
306423104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 76597504 + 229825600 = 8752^2 + 15160^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 306423104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (306423101) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40622 + ... + 47570.
It is an arithmetic number, because the mean of its divisors is an integer number (11915775).
Almost surely, 2306423104 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 306423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333641700).
306423104 is an abundant number, since it is smaller than the sum of its proper divisors (360860296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
306423104 is a wasteful number, since it uses less digits than its factorization.
306423104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7027 (or 7017 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 23.
The square root of 306423104 is about 17504.9451298769. The cubic root of 306423104 is about 674.1768504567.
Adding to 306423104 its reverse (401324603), we get a palindrome (707747707).
The spelling of 306423104 in words is "three hundred six million, four hundred twenty-three thousand, one hundred four".
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