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345843 = 3312809
BaseRepresentation
bin1010100011011110011
3122120102000
41110123303
542031333
611225043
72640201
oct1243363
9576360
10345843
11216923
12148183
13c1554
1490071
156c713
hex546f3

345843 has 8 divisors (see below), whose sum is σ = 512400. Its totient is φ = 230544.

The previous prime is 345823. The next prime is 345853. The reversal of 345843 is 348543.

It is a happy number.

It is not a de Polignac number, because 345843 - 25 = 345811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12809 = 345843 / (3 + 4 + 5 + 8 + 4 + 3).

345843 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345843.

It is not an unprimeable number, because it can be changed into a prime (345803) 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 7 ways as a sum of consecutive naturals, for example, 6378 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (64050).

2345843 is an apocalyptic number.

345843 is a deficient number, since it is larger than the sum of its proper divisors (166557).

345843 is a wasteful number, since it uses less digits than its factorization.

345843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12812 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 345843 is about 588.0841776481. The cubic root of 345843 is about 70.1928694635.

The spelling of 345843 in words is "three hundred forty-five thousand, eight hundred forty-three".

Divisors: 1 3 9 27 12809 38427 115281 345843