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339048 = 233217277
BaseRepresentation
bin1010010110001101000
3122020002100
41102301220
541322143
611133400
72611323
oct1226150
9566070
10339048
11211806
12144260
13bb428
148b7ba
156a6d3
hex52c68

339048 has 48 divisors (see below), whose sum is σ = 975780. Its totient is φ = 105984.

The previous prime is 339023. The next prime is 339049. The reversal of 339048 is 840933.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 324 = 582^2 + 18^2 .

It is a super-2 number, since 2×3390482 = 229907092608, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339048.

It is not an unprimeable number, because it can be changed into a prime (339049) by changing a digit.

339048 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, 1086 + ... + 1362.

2339048 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 339048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487890).

339048 is an abundant number, since it is smaller than the sum of its proper divisors (636732).

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

339048 is a wasteful number, since it uses less digits than its factorization.

339048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

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

The square root of 339048 is about 582.2782839846. The cubic root of 339048 is about 69.7301172758.

The spelling of 339048 in words is "three hundred thirty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 277 306 408 554 612 831 1108 1224 1662 2216 2493 3324 4709 4986 6648 9418 9972 14127 18836 19944 28254 37672 42381 56508 84762 113016 169524 339048