| Base | Representation |
|---|---|
| bin | 11111111111011… |
| … | …11111000100000 |
| 3 | 200200222120122220 |
| 4 | 33333233320200 |
| 5 | 1022200310230 |
| 6 | 42344031040 |
| 7 | 6436050123 |
| oct | 1777577040 |
| 9 | 620876586 |
| 10 | 268369440 |
| 11 | 12853aa29 |
| 12 | 75a62480 |
| 13 | 437a48b1 |
| 14 | 278dc3ba |
| 15 | 18861d10 |
| hex | ffefe20 |
268369440 has 96 divisors (see below), whose sum is σ = 848050560. Its totient is φ = 71337984.
The previous prime is 268369411. The next prime is 268369441. The reversal of 268369440 is 44963862.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×2683694403 (a number of 26 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 268369392 and 268369401.
It is not an unprimeable number, because it can be changed into a prime (268369441) 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 15 ways as a sum of consecutive naturals, for example, 195637 + ... + 197003.
It is an arithmetic number, because the mean of its divisors is an integer number (8833860).
Almost surely, 2268369440 is an apocalyptic number.
268369440 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 268369440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424025280).
268369440 is an abundant number, since it is smaller than the sum of its proper divisors (579681120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268369440 is a wasteful number, since it uses less digits than its factorization.
268369440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1794 (or 1786 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 42.
The square root of 268369440 is about 16381.9852276823. The cubic root of 268369440 is about 645.0266920028.
The spelling of 268369440 in words is "two hundred sixty-eight million, three hundred sixty-nine thousand, four hundred forty".
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