| Base | Representation |
|---|---|
| bin | 11111111111000… |
| … | …00000010100000 |
| 3 | 200200212021122100 |
| 4 | 33333200002200 |
| 5 | 1022141221134 |
| 6 | 42342410400 |
| 7 | 6435356664 |
| oct | 1777400240 |
| 9 | 620767570 |
| 10 | 268304544 |
| 11 | 1284a61a2 |
| 12 | 75a30a00 |
| 13 | 437811b1 |
| 14 | 278c28a4 |
| 15 | 1884c999 |
| hex | ffe00a0 |
268304544 has 72 divisors (see below), whose sum is σ = 767026260. Its totient is φ = 88962048.
The previous prime is 268304537. The next prime is 268304551. The reversal of 268304544 is 445403862.
It is an interprime number because it is at equal distance from previous prime (268304537) and next prime (268304551).
It can be written as a sum of positive squares in 2 ways, for example, as 268304400 + 144 = 16380^2 + 12^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 268304499 and 268304508.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 54372 + ... + 59100.
Almost surely, 2268304544 is an apocalyptic number.
268304544 is a gapful number since it is divisible by the number (24) 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 268304544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383513130).
268304544 is an abundant number, since it is smaller than the sum of its proper divisors (498721716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268304544 is a wasteful number, since it uses less digits than its factorization.
268304544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4942 (or 4931 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 36.
The square root of 268304544 is about 16380.0043956038. The cubic root of 268304544 is about 644.9746952394.
The spelling of 268304544 in words is "two hundred sixty-eight million, three hundred four thousand, five hundred forty-four".
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