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344128 = 2619283
BaseRepresentation
bin1010100000001000000
3122111001111
41110001000
542003003
611213104
72632201
oct1240100
9574044
10344128
11215604
12147194
13c0835
148d5a8
156be6d
hex54040

344128 has 28 divisors (see below), whose sum is σ = 721360. Its totient is φ = 162432.

The previous prime is 344117. The next prime is 344153. The reversal of 344128 is 821443.

It is a junction number, because it is equal to n+sod(n) for n = 344099 and 344108.

It is an unprimeable number.

344128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1075 + ... + 1357.

2344128 is an apocalyptic number.

344128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360680).

344128 is an abundant number, since it is smaller than the sum of its proper divisors (377232).

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

344128 is a wasteful number, since it uses less digits than its factorization.

344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 344128 is about 586.6242408902. The cubic root of 344128 is about 70.0766507299.

The spelling of 344128 in words is "three hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 283 304 566 608 1132 1216 2264 4528 5377 9056 10754 18112 21508 43016 86032 172064 344128