Search a number
-
+
339228 = 2235349
BaseRepresentation
bin1010010110100011100
3122020100000
41102310130
541323403
611134300
72612001
oct1226434
9566300
10339228
1121195a
12144390
13bb536
148b8a8
156a7a3
hex52d1c

339228 has 36 divisors (see below), whose sum is σ = 891800. Its totient is φ = 112752.

The previous prime is 339223. The next prime is 339239. The reversal of 339228 is 822933.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798 + ... + 1146.

2339228 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 339228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445900).

339228 is an abundant number, since it is smaller than the sum of its proper divisors (552572).

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

339228 is a wasteful number, since it uses less digits than its factorization.

339228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 339228 is about 582.4328287451. The cubic root of 339228 is about 69.7424549591.

It can be divided in two parts, 33922 and 8, that added together give a triangular number (33930 = T260).

The spelling of 339228 in words is "three hundred thirty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 349 486 698 972 1047 1396 2094 3141 4188 6282 9423 12564 18846 28269 37692 56538 84807 113076 169614 339228