Base | Representation |
---|---|
bin | 10001011110001… |
… | …000111111101100 |
3 | 202102112201121000 |
4 | 101132020333230 |
5 | 1100014120321 |
6 | 45030240300 |
7 | 10156266201 |
oct | 2136107754 |
9 | 672481530 |
10 | 293113836 |
11 | 140500844 |
12 | 821b6090 |
13 | 48959652 |
14 | 2acddca8 |
15 | 1aaed826 |
hex | 11788fec |
293113836 has 96 divisors (see below), whose sum is σ = 810028800. Its totient is φ = 91393920.
The previous prime is 293113823. The next prime is 293113837. The reversal of 293113836 is 638311392.
293113836 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
293113836 is strictly pandigital in base 9.
It is a self number, because there is not a number n which added to its sum of digits gives 293113836.
It is not an unprimeable number, because it can be changed into a prime (293113837) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169456 + ... + 171176.
It is an arithmetic number, because the mean of its divisors is an integer number (8437800).
Almost surely, 2293113836 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 293113836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405014400).
293113836 is an abundant number, since it is smaller than the sum of its proper divisors (516914964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
293113836 is a wasteful number, since it uses less digits than its factorization.
293113836 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1836 (or 1828 counting only the distinct ones).
The product of its digits is 23328, while the sum is 36.
The square root of 293113836 is about 17120.5676307767. The cubic root of 293113836 is about 664.2712245390.
The spelling of 293113836 in words is "two hundred ninety-three million, one hundred thirteen thousand, eight hundred thirty-six".
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