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343908 = 223241233
BaseRepresentation
bin1010011111101100100
3122110202100
41103331210
542001113
611212100
72631435
oct1237544
9573670
10343908
11215424
12147030
13c06c6
148d48c
156bd73
hex53f64

343908 has 36 divisors (see below), whose sum is σ = 894348. Its totient is φ = 111360.

The previous prime is 343901. The next prime is 343913. The reversal of 343908 is 809343.

343908 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 2 ways, for example, as 39204 + 304704 = 198^2 + 552^2 .

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 (343901) by changing a digit.

343908 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1360 + ... + 1592.

It is an arithmetic number, because the mean of its divisors is an integer number (24843).

2343908 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 343908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447174).

343908 is an abundant number, since it is smaller than the sum of its proper divisors (550440).

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

343908 is a wasteful number, since it uses less digits than its factorization.

343908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 343908 is about 586.4366973510. The cubic root of 343908 is about 70.0617142822.

The spelling of 343908 in words is "three hundred forty-three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 233 246 369 466 492 699 738 932 1398 1476 2097 2796 4194 8388 9553 19106 28659 38212 57318 85977 114636 171954 343908