Base | Representation |
---|---|
bin | 10001011110001… |
… | …011010100000000 |
3 | 202102120012121120 |
4 | 101132023110000 |
5 | 1100014421303 |
6 | 45030352240 |
7 | 10156335651 |
oct | 2136132400 |
9 | 672505546 |
10 | 293123328 |
11 | 140507993 |
12 | 821bb680 |
13 | 48960a74 |
14 | 2ad03528 |
15 | 1ab01553 |
hex | 1178b500 |
293123328 has 72 divisors (see below), whose sum is σ = 793480800. Its totient is φ = 96036864.
The previous prime is 293123323. The next prime is 293123351. The reversal of 293123328 is 823321392.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (293123323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42078 + ... + 48546.
Almost surely, 2293123328 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 293123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396740400).
293123328 is an abundant number, since it is smaller than the sum of its proper divisors (500357472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
293123328 is an equidigital number, since it uses as much as digits as its factorization.
293123328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6547 (or 6533 counting only the distinct ones).
The product of its digits is 15552, while the sum is 33.
The square root of 293123328 is about 17120.8448389675. The cubic root of 293123328 is about 664.2783948981.
It can be divided in two parts, 29312 and 3328, that added together give a triangular number (32640 = T255).
The spelling of 293123328 in words is "two hundred ninety-three million, one hundred twenty-three thousand, three hundred twenty-eight".
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