Base | Representation |
---|---|
bin | 111001010010… |
… | …0111101110000 |
3 | 2002111222101221 |
4 | 1302210331300 |
5 | 30142121244 |
6 | 2551434424 |
7 | 513205000 |
oct | 162447560 |
9 | 62458357 |
10 | 30035824 |
11 | 15a553a5 |
12 | a085a14 |
13 | 62b83a0 |
14 | 3dbc000 |
15 | 2984784 |
hex | 1ca4f70 |
30035824 has 80 divisors (see below), whose sum is σ = 73259200. Its totient is φ = 11854080.
The previous prime is 30035783. The next prime is 30035833. The reversal of 30035824 is 42853003.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 71134 + ... + 71554.
It is an arithmetic number, because the mean of its divisors is an integer number (915740).
Almost surely, 230035824 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 30035824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36629600).
30035824 is an abundant number, since it is smaller than the sum of its proper divisors (43223376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30035824 is a wasteful number, since it uses less digits than its factorization.
30035824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 463 (or 443 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 25.
The square root of 30035824 is about 5480.4948681666. The cubic root of 30035824 is about 310.8468830609.
Adding to 30035824 its reverse (42853003), we get a palindrome (72888827).
The spelling of 30035824 in words is "thirty million, thirty-five thousand, eight hundred twenty-four".
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