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339904 = 2647113
BaseRepresentation
bin1010010111111000000
3122021021001
41102333000
541334104
611141344
72613655
oct1227700
9567231
10339904
11212414
12144854
13bb936
148bc2c
156aaa4
hex52fc0

339904 has 28 divisors (see below), whose sum is σ = 694944. Its totient is φ = 164864.

The previous prime is 339887. The next prime is 339907. The reversal of 339904 is 409933.

339904 = T96 + T97 + ... + T142.

339904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2952 + ... + 3064.

2339904 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 339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472).

339904 is an abundant number, since it is smaller than the sum of its proper divisors (355040).

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

339904 is a wasteful number, since it uses less digits than its factorization.

339904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 339904 is about 583.0128643521. The cubic root of 339904 is about 69.7887508794.

The spelling of 339904 in words is "three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 113 188 226 376 452 752 904 1504 1808 3008 3616 5311 7232 10622 21244 42488 84976 169952 339904