Base | Representation |
---|---|
bin | 111001101011… |
… | …1000111010000 |
3 | 2002220102011122 |
4 | 1303113013100 |
5 | 30220204412 |
6 | 3000101412 |
7 | 515021600 |
oct | 163270720 |
9 | 62812148 |
10 | 30241232 |
11 | 1608575a |
12 | a164868 |
13 | 635aa28 |
14 | 4032c00 |
15 | 29c5572 |
hex | 1cd71d0 |
30241232 has 60 divisors (see below), whose sum is σ = 72199620. Its totient is φ = 12192768.
The previous prime is 30241207. The next prime is 30241259. The reversal of 30241232 is 23214203.
It can be written as a sum of positive squares in 2 ways, for example, as 10916416 + 19324816 = 3304^2 + 4396^2 .
It is a super-3 number, since 3×302412323 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a self number, because there is not a number n which added to its sum of digits gives 30241232.
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 11 ways as a sum of consecutive naturals, for example, 12194 + ... + 14462.
It is an arithmetic number, because the mean of its divisors is an integer number (1203327).
Almost surely, 230241232 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 30241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36099810).
30241232 is an abundant number, since it is smaller than the sum of its proper divisors (41958388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30241232 is a wasteful number, since it uses less digits than its factorization.
30241232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2308 (or 2295 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 30241232 is about 5499.2028513231. The cubic root of 30241232 is about 311.5538769747.
Adding to 30241232 its reverse (23214203), we get a palindrome (53455435).
The spelling of 30241232 in words is "thirty million, two hundred forty-one thousand, two hundred thirty-two".
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