Base | Representation |
---|---|
bin | 10001011111100… |
… | …010001101100000 |
3 | 202110020021212101 |
4 | 101133202031200 |
5 | 1100112314024 |
6 | 45042140144 |
7 | 10162350451 |
oct | 2137421540 |
9 | 673207771 |
10 | 293479264 |
11 | 140730351 |
12 | 82351654 |
13 | 48a56a90 |
14 | 2ad97128 |
15 | 1ab71c44 |
hex | 117e2360 |
293479264 has 96 divisors (see below), whose sum is σ = 667638720. Its totient is φ = 125908992.
The previous prime is 293479261. The next prime is 293479283. The reversal of 293479264 is 462974392.
293479264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2934792642 = 172260156795963392, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (46).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (293479261) 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, 353602 + ... + 354430.
It is an arithmetic number, because the mean of its divisors is an integer number (6954570).
Almost surely, 2293479264 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 293479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333819360).
293479264 is an abundant number, since it is smaller than the sum of its proper divisors (374159456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
293479264 is a wasteful number, since it uses less digits than its factorization.
293479264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 912 (or 904 counting only the distinct ones).
The product of its digits is 653184, while the sum is 46.
The square root of 293479264 is about 17131.2364994474. The cubic root of 293479264 is about 664.5471611300.
The spelling of 293479264 in words is "two hundred ninety-three million, four hundred seventy-nine thousand, two hundred sixty-four".
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