Base | Representation |
---|---|
bin | 111001010111… |
… | …1110101000000 |
3 | 2002121020102221 |
4 | 1302233311000 |
5 | 30200032240 |
6 | 2552420424 |
7 | 513451504 |
oct | 162576500 |
9 | 62536387 |
10 | 30080320 |
11 | 15a85876 |
12 | a0a7714 |
13 | 630270a |
14 | 3dd0304 |
15 | 2992a4a |
hex | 1cafd40 |
30080320 has 112 divisors (see below), whose sum is σ = 77102208. Its totient is φ = 11151360.
The previous prime is 30080317. The next prime is 30080321. The reversal of 30080320 is 2308003.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 30080294 and 30080303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30080321) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 448927 + ... + 448993.
Almost surely, 230080320 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 30080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38551104).
30080320 is an abundant number, since it is smaller than the sum of its proper divisors (47021888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30080320 is a wasteful number, since it uses less digits than its factorization.
30080320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168 (or 158 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 30080320 is about 5484.5528532415. The cubic root of 30080320 is about 311.0003067238. Note that the first 3 decimals are identical.
Adding to 30080320 its reverse (2308003), we get a palindrome (32388323).
The spelling of 30080320 in words is "thirty million, eighty thousand, three hundred twenty".
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