Base | Representation |
---|---|
bin | 111001111000… |
… | …0111000010000 |
3 | 2010002202221101 |
4 | 1303300320100 |
5 | 30232044033 |
6 | 3002234144 |
7 | 515641354 |
oct | 163607020 |
9 | 63082841 |
10 | 30346768 |
11 | 16147a81 |
12 | a1b5954 |
13 | 6396a8a |
14 | 405d464 |
15 | 29e697d |
hex | 1cf0e10 |
30346768 has 80 divisors (see below), whose sum is σ = 66424320. Its totient is φ = 13363200.
The previous prime is 30346747. The next prime is 30346769. The reversal of 30346768 is 86764303.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (30346769) 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 15 ways as a sum of consecutive naturals, for example, 497458 + ... + 497518.
It is an arithmetic number, because the mean of its divisors is an integer number (830304).
Almost surely, 230346768 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 30346768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212160).
30346768 is an abundant number, since it is smaller than the sum of its proper divisors (36077552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30346768 is a wasteful number, since it uses less digits than its factorization.
30346768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 170 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 37.
The square root of 30346768 is about 5508.7900667933. The cubic root of 30346768 is about 311.9158769478.
The spelling of 30346768 in words is "thirty million, three hundred forty-six thousand, seven hundred sixty-eight".
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