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339323328864 = 25321390631231
BaseRepresentation
bin1001111000000010011…
…11110001100101100000
31012102212000201002221200
410330001033301211200
521024413233010424
6415514420321200
733341514464112
oct4740117614540
91172760632850
10339323328864
111209a719a2a3
125591a843200
1325cc894c440
14125cd8c93b2
158c5ea808c9
hex4f013f1960

339323328864 has 72 divisors (see below), whose sum is σ = 1039177706112. Its totient is φ = 104407176960.

The previous prime is 339323328833. The next prime is 339323328871. The reversal of 339323328864 is 468823323933.

339323328864 is a `hidden beast` number, since 3 + 39 + 323 + 3 + 288 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3393233288642 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 339323328864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45311872 + ... + 45319359.

It is an arithmetic number, because the mean of its divisors is an integer number (14433023696).

Almost surely, 2339323328864 is an apocalyptic number.

It is an amenable number.

339323328864 is an abundant number, since it is smaller than the sum of its proper divisors (699854377248).

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

339323328864 is a wasteful number, since it uses less digits than its factorization.

339323328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90631260 (or 90631249 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 339323328864 in words is "three hundred thirty-nine billion, three hundred twenty-three million, three hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 90631231 181262462 271893693 362524924 543787386 725049848 815681079 1087574772 1178206003 1450099696 1631362158 2175149544 2356412006 2900199392 3262724316 3534618009 4350299088 4712824012 6525448632 7069236018 8700598176 9425648024 10603854027 13050897264 14138472036 18851296048 21207708054 26101794528 28276944072 37702592096 42415416108 56553888144 84830832216 113107776288 169661664432 339323328864