Search a number
-
+
268846974 = 2321110912457
BaseRepresentation
bin10000000001100…
…100011101111110
3200201212211201100
4100001210131332
51022311100344
642402153530
76443106264
oct2001443576
9621784640
10268846974
11128836790
12760528a6
1343911066
14279c4434
1518908569
hex1006477e

268846974 has 48 divisors (see below), whose sum is σ = 641337840. Its totient is φ = 80714880.

The previous prime is 268846933. The next prime is 268846987. The reversal of 268846974 is 479648862.

268846974 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 268846974.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15354 + ... + 27810.

It is an arithmetic number, because the mean of its divisors is an integer number (13361205).

Almost surely, 2268846974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268846974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320668920).

268846974 is an abundant number, since it is smaller than the sum of its proper divisors (372490866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268846974 is a wasteful number, since it uses less digits than its factorization.

268846974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585 (or 12582 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 268846974 is about 16396.5537232676. The cubic root of 268846974 is about 645.4090500680.

The spelling of 268846974 in words is "two hundred sixty-eight million, eight hundred forty-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 654 981 1199 1962 2398 3597 7194 10791 12457 21582 24914 37371 74742 112113 137027 224226 274054 411081 822162 1233243 1357813 2466486 2715626 4073439 8146878 12220317 14935943 24440634 29871886 44807829 89615658 134423487 268846974