Search a number
-
+
339192 = 23327673
BaseRepresentation
bin1010010110011111000
3122020021200
41102303320
541323232
611134200
72611620
oct1226370
9566250
10339192
11211927
12144360
13bb509
148b880
156a77c
hex52cf8

339192 has 48 divisors (see below), whose sum is σ = 1051440. Its totient is φ = 96768.

The previous prime is 339187. The next prime is 339211. The reversal of 339192 is 291933.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339192.

It is an unprimeable number.

339192 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, 168 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (21905).

2339192 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 339192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525720).

339192 is an abundant number, since it is smaller than the sum of its proper divisors (712248).

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

339192 is a wasteful number, since it uses less digits than its factorization.

339192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 685 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 339192 is about 582.4019230737. The cubic root of 339192 is about 69.7399877716.

The spelling of 339192 in words is "three hundred thirty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 673 1346 2019 2692 4038 4711 5384 6057 8076 9422 12114 14133 16152 18844 24228 28266 37688 42399 48456 56532 84798 113064 169596 339192