Base | Representation |
---|---|
bin | 111001010001… |
… | …1110111000100 |
3 | 2002111202012101 |
4 | 1302203313010 |
5 | 30142000200 |
6 | 2551401444 |
7 | 513155545 |
oct | 162436704 |
9 | 62452171 |
10 | 30031300 |
11 | 15a51a62 |
12 | a083284 |
13 | 62b6300 |
14 | 3dba4cc |
15 | 298326a |
hex | 1ca3dc4 |
30031300 has 54 divisors (see below), whose sum is σ = 70606158. Its totient is φ = 11082240.
The previous prime is 30031277. The next prime is 30031301. The reversal of 30031300 is 313003.
It is a happy number.
It can be written as a sum of positive squares in 9 ways, for example, as 19061956 + 10969344 = 4366^2 + 3312^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (30031301) 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 17 ways as a sum of consecutive naturals, for example, 16012 + ... + 17788.
Almost surely, 230031300 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 30031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35303079).
30031300 is an abundant number, since it is smaller than the sum of its proper divisors (40574858).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30031300 is a wasteful number, since it uses less digits than its factorization.
30031300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1817 (or 1797 counting only the distinct ones).
The product of its (nonzero) digits is 27, while the sum is 10.
The square root of 30031300 is about 5480.0821161731. The cubic root of 30031300 is about 310.8312756770.
Adding to 30031300 its reverse (313003), we get a palindrome (30344303).
The spelling of 30031300 in words is "thirty million, thirty-one thousand, three hundred".
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