Base | Representation |
---|---|
bin | 1000000010101… |
… | …0110111111100 |
3 | 2100110122220220 |
4 | 2000222313330 |
5 | 32113330134 |
6 | 3202541340 |
7 | 556462215 |
oct | 200526774 |
9 | 70418826 |
10 | 33730044 |
11 | 18048977 |
12 | b367850 |
13 | 6caca0a |
14 | 46a040c |
15 | 2e64149 |
hex | 202adfc |
33730044 has 48 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 10879360.
The previous prime is 33730043. The next prime is 33730063. The reversal of 33730044 is 44003733.
33730044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×337300442 = 2275431736483872, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 33729996 and 33730023.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33730043) 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, 87877 + ... + 88259.
It is an arithmetic number, because the mean of its divisors is an integer number (1693440).
Almost surely, 233730044 is an apocalyptic number.
It is an amenable number.
33730044 is an abundant number, since it is smaller than the sum of its proper divisors (47555076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33730044 is a wasteful number, since it uses less digits than its factorization.
33730044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 610 (or 608 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 24.
The square root of 33730044 is about 5807.7572263310. The cubic root of 33730044 is about 323.1014962820.
Adding to 33730044 its reverse (44003733), we get a palindrome (77733777).
It can be divided in two parts, 337 and 30044, that added together give a triangular number (30381 = T246).
The spelling of 33730044 in words is "thirty-three million, seven hundred thirty thousand, forty-four".
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