Base | Representation |
---|---|
bin | 111010111001… |
… | …1000100000000 |
3 | 2011002212101201 |
4 | 1311303010000 |
5 | 30401130000 |
6 | 3021510544 |
7 | 523322104 |
oct | 165630400 |
9 | 64085351 |
10 | 30880000 |
11 | 16481668 |
12 | a412454 |
13 | 65226b8 |
14 | 415b904 |
15 | 2a9e96a |
hex | 1d73100 |
30880000 has 90 divisors (see below), whose sum is σ = 77423654. Its totient is φ = 12288000.
The previous prime is 30879991. The next prime is 30880009. The reversal of 30880000 is 8803.
It is an interprime number because it is at equal distance from previous prime (30879991) and next prime (30880009).
It can be written as a sum of positive squares in 5 ways, for example, as 16257024 + 14622976 = 4032^2 + 3824^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 30880000.
It is not an unprimeable number, because it can be changed into a prime (30880009) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159904 + ... + 160096.
Almost surely, 230880000 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 30880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38711827).
30880000 is an abundant number, since it is smaller than the sum of its proper divisors (46543654).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30880000 is an frugal number, since it uses more digits than its factorization.
30880000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 229 (or 200 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 19.
The square root of 30880000 is about 5556.9775957799. The cubic root of 30880000 is about 313.7322016538.
Adding to 30880000 its reverse (8803), we get a palindrome (30888803).
It can be divided in two parts, 308 and 80000, that added together give a palindrome (80308).
The spelling of 30880000 in words is "thirty million, eight hundred eighty thousand".
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