Base | Representation |
---|---|
bin | 111001010011… |
… | …0111110100000 |
3 | 2002112101201010 |
4 | 1302212332200 |
5 | 30142402224 |
6 | 2551540520 |
7 | 513241011 |
oct | 162467640 |
9 | 62471633 |
10 | 30044064 |
11 | 15a60606 |
12 | a08a740 |
13 | 62bc06b |
14 | 3dc1008 |
15 | 2986e29 |
hex | 1ca6fa0 |
30044064 has 48 divisors (see below), whose sum is σ = 79500960. Its totient is φ = 9934080.
The previous prime is 30044059. The next prime is 30044081. The reversal of 30044064 is 46044003.
It is a tau number, because it is divible by the number of its divisors (48).
It is a self number, because there is not a number n which added to its sum of digits gives 30044064.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11382 + ... + 13770.
It is an arithmetic number, because the mean of its divisors is an integer number (1656270).
Almost surely, 230044064 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 30044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39750480).
30044064 is an abundant number, since it is smaller than the sum of its proper divisors (49456896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30044064 is a wasteful number, since it uses less digits than its factorization.
30044064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2533 (or 2525 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 30044064 is about 5481.2465735451. The cubic root of 30044064 is about 310.8753062767.
Adding to 30044064 its reverse (46044003), we get a palindrome (76088067).
The spelling of 30044064 in words is "thirty million, forty-four thousand, sixty-four", and thus it is an eban number.
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