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339372 = 223211857
BaseRepresentation
bin1010010110110101100
3122020112100
41102312230
541324442
611135100
72612265
oct1226654
9566470
10339372
11211a80
12144490
13bb617
148b96c
156a84c
hex52dac

339372 has 36 divisors (see below), whose sum is σ = 936936. Its totient is φ = 102720.

The previous prime is 339341. The next prime is 339373. The reversal of 339372 is 273933.

339372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (339373) by changing a digit.

339372 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, 33 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (26026).

2339372 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 339372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468468).

339372 is an abundant number, since it is smaller than the sum of its proper divisors (597564).

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

339372 is a wasteful number, since it uses less digits than its factorization.

339372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 873 counting only the distinct ones).

The product of its digits is 3402, while the sum is 27.

The square root of 339372 is about 582.5564350344. The cubic root of 339372 is about 69.7523219638.

The spelling of 339372 in words is "three hundred thirty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 857 1714 2571 3428 5142 7713 9427 10284 15426 18854 28281 30852 37708 56562 84843 113124 169686 339372