Search a number
-
+
268000319 = 1127923761
BaseRepresentation
bin11111111100101…
…01110000111111
3200200021211022202
433332111300333
51022102002234
642332102115
76432652016
oct1776256077
9620254282
10268000319
11128308674
127590493b
13436a5892
1427843a7d
15187dc77e
hexff95c3f

268000319 has 4 divisors (see below), whose sum is σ = 268035360. Its totient is φ = 267965280.

The previous prime is 268000309. The next prime is 268000331. The reversal of 268000319 is 913000862.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 913000862 = 2456500431.

It is a cyclic number.

It is not a de Polignac number, because 268000319 - 216 = 267934783 is a prime.

It is a super-2 number, since 2×2680003192 = 143648341968203522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268000291 and 268000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268000309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 602 + ... + 23159.

It is an arithmetic number, because the mean of its divisors is an integer number (67008840).

Almost surely, 2268000319 is an apocalyptic number.

268000319 is a deficient number, since it is larger than the sum of its proper divisors (35041).

268000319 is a wasteful number, since it uses less digits than its factorization.

268000319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35040.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 268000319 is about 16370.7152867552. The cubic root of 268000319 is about 644.7308285339.

The spelling of 268000319 in words is "two hundred sixty-eight million, three hundred nineteen", and thus it is an aban number.

Divisors: 1 11279 23761 268000319