Base | Representation |
---|---|
bin | 111010100001… |
… | …0010000000000 |
3 | 2010201201010200 |
4 | 1311002100000 |
5 | 30323230224 |
6 | 3013325200 |
7 | 521530152 |
oct | 165022000 |
9 | 63651120 |
10 | 30680064 |
11 | 16355428 |
12 | a336800 |
13 | 64826ac |
14 | 4108ad2 |
15 | 2a605c9 |
hex | 1d42400 |
30680064 has 66 divisors (see below), whose sum is σ = 88614630. Its totient is φ = 10223616.
The previous prime is 30680047. The next prime is 30680077. The reversal of 30680064 is 46008603.
It can be written as a sum of positive squares in only one way, i.e., 24920064 + 5760000 = 4992^2 + 2400^2 .
It is a super-3 number, since 3×306800643 (a number of 23 digits) contains 333 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7552 + ... + 10880.
Almost surely, 230680064 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 30680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44307315).
30680064 is an abundant number, since it is smaller than the sum of its proper divisors (57934566).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30680064 is a wasteful number, since it uses less digits than its factorization.
30680064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3355 (or 3334 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 30680064 is about 5538.9587469126. The cubic root of 30680064 is about 313.0536370294.
Adding to 30680064 its reverse (46008603), we get a palindrome (76688667).
The spelling of 30680064 in words is "thirty million, six hundred eighty thousand, sixty-four".
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