| Base | Representation |
|---|---|
| bin | 11111111111001… |
| … | …11111010100000 |
| 3 | 200200220220220000 |
| 4 | 33333213322200 |
| 5 | 1022143234200 |
| 6 | 42343220000 |
| 7 | 6435553014 |
| oct | 1777477240 |
| 9 | 620826800 |
| 10 | 268336800 |
| 11 | 128518456 |
| 12 | 75a47600 |
| 13 | 43792a94 |
| 14 | 278d0544 |
| 15 | 18857300 |
| hex | ffe7ea0 |
268336800 has 360 divisors, whose sum is σ = 1012364892. Its totient is φ = 69120000.
The previous prime is 268336793. The next prime is 268336801. The reversal of 268336800 is 8633862.
It can be written as a sum of positive squares in 6 ways, for example, as 99440784 + 168896016 = 9972^2 + 12996^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (268336801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2656750 + ... + 2656850.
Almost surely, 2268336800 is an apocalyptic number.
268336800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 268336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506182446).
268336800 is an abundant number, since it is smaller than the sum of its proper divisors (744028092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268336800 is a wasteful number, since it uses less digits than its factorization.
268336800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 268336800 is about 16380.9889811330. The cubic root of 268336800 is about 645.0005408324. Note that the first 3 decimals are identical.
It can be divided in two parts, 26833 and 6800, that added together give a palindrome (33633).
The spelling of 268336800 in words is "two hundred sixty-eight million, three hundred thirty-six thousand, eight hundred".
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