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348804 = 22329689
BaseRepresentation
bin1010101001010000100
3122201110200
41111022010
542130204
611250500
72651631
oct1251204
9581420
10348804
11219075
12149a30
13c29c1
1491188
156d539
hex55284

348804 has 18 divisors (see below), whose sum is σ = 881790. Its totient is φ = 116256.

The previous prime is 348779. The next prime is 348811. The reversal of 348804 is 408843.

348804 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 only one way, i.e., 304704 + 44100 = 552^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

348804 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 5 ways as a sum of consecutive naturals, for example, 4809 + ... + 4880.

2348804 is an apocalyptic number.

It is an amenable number.

348804 is an abundant number, since it is smaller than the sum of its proper divisors (532986).

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

348804 is a wasteful number, since it uses less digits than its factorization.

348804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9699 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 348804 is about 590.5963088269. The cubic root of 348804 is about 70.3926236245.

The spelling of 348804 in words is "three hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 9689 19378 29067 38756 58134 87201 116268 174402 348804