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339642912 = 25372103701
BaseRepresentation
bin10100001111101…
…000101000100000
3212200002122111010
4110033220220200
51143422033122
653411420520
711262626400
oct2417505040
9780078433
10339642912
111647a0824
12958b4740
135549ac4b
1433172800
151ec3ee0c
hex143e8a20

339642912 has 144 divisors (see below), whose sum is σ = 1048686912. Its totient is φ = 95961600.

The previous prime is 339642887. The next prime is 339642959. The reversal of 339642912 is 219246933.

339642912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484162 + ... + 484862.

It is an arithmetic number, because the mean of its divisors is an integer number (7282548).

Almost surely, 2339642912 is an apocalyptic number.

339642912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524343456).

339642912 is an abundant number, since it is smaller than the sum of its proper divisors (709044000).

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

339642912 is a wasteful number, since it uses less digits than its factorization.

339642912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 816 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 339642912 is about 18429.4034629448. The cubic root of 339642912 is about 697.7087752623.

The spelling of 339642912 in words is "three hundred thirty-nine million, six hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 103 112 147 168 196 206 224 294 309 336 392 412 588 618 672 701 721 784 824 1176 1236 1402 1442 1568 1648 2103 2163 2352 2472 2804 2884 3296 4206 4326 4704 4907 4944 5047 5608 5768 8412 8652 9814 9888 10094 11216 11536 14721 15141 16824 17304 19628 20188 22432 23072 29442 30282 33648 34349 34608 39256 40376 58884 60564 67296 68698 69216 72203 78512 80752 103047 117768 121128 137396 144406 157024 161504 206094 216609 235536 242256 274792 288812 412188 433218 471072 484512 505421 549584 577624 824376 866436 1010842 1099168 1155248 1516263 1648752 1732872 2021684 2310496 3032526 3297504 3465744 3537947 4043368 6065052 6931488 7075894 8086736 10613841 12130104 14151788 16173472 21227682 24260208 28303576 42455364 48520416 56607152 84910728 113214304 169821456 339642912