Base | Representation |
---|---|
bin | 11111111110000… |
… | …00000001000000 |
3 | 200200121121201021 |
4 | 33333000001000 |
5 | 1022123022001 |
6 | 42335515224 |
7 | 6434302402 |
oct | 1777000100 |
9 | 620547637 |
10 | 268173376 |
11 | 128416699 |
12 | 75988b14 |
13 | 43736593 |
14 | 2788ab72 |
15 | 18823ba1 |
hex | ffc0040 |
268173376 has 63 divisors (see below), whose sum is σ = 562620541. Its totient is φ = 126815744.
The previous prime is 268173341. The next prime is 268173379. The reversal of 268173376 is 673371862.
The square root of 268173376 is 16376.
It is a perfect power (a square), and thus also a powerful number.
268173376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 51494976 + 216678400 = 7176^2 + 14720^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (268173379) 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 8 ways as a sum of consecutive naturals, for example, 3013140 + ... + 3013228.
Almost surely, 2268173376 is an apocalyptic number.
268173376 is the 16376-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 268173376
268173376 is an abundant number, since it is smaller than the sum of its proper divisors (294447165).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268173376 is an frugal number, since it uses more digits than its factorization.
268173376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 236 (or 114 counting only the distinct ones).
The product of its digits is 254016, while the sum is 43.
The cubic root of 268173376 is about 644.8695736120.
Multiplying 268173376 by its product of digits (254016), we get a square (68120328278016 = 82535042).
The spelling of 268173376 in words is "two hundred sixty-eight million, one hundred seventy-three thousand, three hundred seventy-six".
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