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344268 = 223273131
BaseRepresentation
bin1010100000011001100
3122111020200
41110003030
542004033
611213500
72632461
oct1240314
9574220
10344268
11215721
12147290
13c0912
148d668
156c013
hex540cc

344268 has 36 divisors (see below), whose sum is σ = 888888. Its totient is φ = 112320.

The previous prime is 344263. The next prime is 344269. The reversal of 344268 is 862443.

344268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (344263) by changing a digit.

344268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2563 + ... + 2693.

2344268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444444).

344268 is an abundant number, since it is smaller than the sum of its proper divisors (544620).

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

344268 is a wasteful number, since it uses less digits than its factorization.

344268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 344268 is about 586.7435555675. The cubic root of 344268 is about 70.0861524279.

The spelling of 344268 in words is "three hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 131 146 219 262 292 393 438 524 657 786 876 1179 1314 1572 2358 2628 4716 9563 19126 28689 38252 57378 86067 114756 172134 344268