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339768 = 233311213
BaseRepresentation
bin1010010111100111000
3122021002000
41102330320
541333033
611141000
72613402
oct1227470
9567060
10339768
11212300
12144760
13bb860
148bb72
156aa13
hex52f38

339768 has 96 divisors (see below), whose sum is σ = 1117200. Its totient is φ = 95040.

The previous prime is 339761. The next prime is 339769. The reversal of 339768 is 867933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

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 339768.

It is not an unprimeable number, because it can be changed into a prime (339761) by changing a digit.

339768 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 23 ways as a sum of consecutive naturals, for example, 26130 + ... + 26142.

339768 is a Friedman number, since it can be written as 78*6*(9^3-3), using all its digits and the basic arithmetic operations.

2339768 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 339768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558600).

339768 is an abundant number, since it is smaller than the sum of its proper divisors (777432).

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

339768 is a wasteful number, since it uses less digits than its factorization.

339768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 29 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 339768 is about 582.8962171776. The cubic root of 339768 is about 69.7794418429.

It can be divided in two parts, 33 and 9768, that added together give a square (9801 = 992).

The spelling of 339768 in words is "three hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 121 132 143 156 198 216 234 242 264 286 297 312 351 363 396 429 468 484 572 594 702 726 792 858 936 968 1089 1144 1188 1287 1404 1452 1573 1716 2178 2376 2574 2808 2904 3146 3267 3432 3861 4356 4719 5148 6292 6534 7722 8712 9438 10296 12584 13068 14157 15444 18876 26136 28314 30888 37752 42471 56628 84942 113256 169884 339768