Search a number
349128 = 233213373
BaseRepresentation
bin1010101001111001000
3122201220200
41111033020
542133003
611252200
72652603
oct1251710
9581820
10349128
1121933a
1214a060
13c2bb0
149133a
156d6a3
hex553c8

349128 has 48 divisors (see below), whose sum is σ = 1021020. Its totient is φ = 107136.

The previous prime is 349121. The next prime is 349133. The reversal of 349128 is 821943.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 10404 = 582^2 + 102^2 .

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (349121) by changing a digit.

349128 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 11 ways as a sum of consecutive naturals, for example, 750 + ... + 1122.

2349128 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 349128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510510).

349128 is an abundant number, since it is smaller than the sum of its proper divisors (671892).

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

349128 is a wasteful number, since it uses less digits than its factorization.

349128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 349128 is about 590.8705441973. The cubic root of 349128 is about 70.4144125107.

The spelling of 349128 in words is "three hundred forty-nine thousand, one hundred twenty-eight".