Base | Representation |
---|---|
bin | 111001110101… |
… | …0010110000000 |
3 | 2010001102012222 |
4 | 1303222112000 |
5 | 30230220000 |
6 | 3001510212 |
7 | 515500334 |
oct | 163522600 |
9 | 63042188 |
10 | 30320000 |
11 | 16129957 |
12 | a1a2368 |
13 | 6387839 |
14 | 40537c4 |
15 | 29dda85 |
hex | 1cea580 |
30320000 has 80 divisors (see below), whose sum is σ = 75678900. Its totient is φ = 12096000.
The previous prime is 30319987. The next prime is 30320009. The reversal of 30320000 is 2303.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 30320000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30320009) 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 9 ways as a sum of consecutive naturals, for example, 79811 + ... + 80189.
Almost surely, 230320000 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 30320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37839450).
30320000 is an abundant number, since it is smaller than the sum of its proper divisors (45358900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30320000 is an frugal number, since it uses more digits than its factorization.
30320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 413 (or 386 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 8.
The square root of 30320000 is about 5506.3599591745. The cubic root of 30320000 is about 311.8241393333.
Adding to 30320000 its reverse (2303), we get a palindrome (30322303).
The spelling of 30320000 in words is "thirty million, three hundred twenty thousand".
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