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2324314314 = 232728872971
BaseRepresentation
bin1000101010001010…
…0011100011001010
312222222121101211100
42022202203203022
514230011024224
61022350042230
7111412226400
oct21242434312
95888541740
102324314314
11a93018823
1254a4a9376
132b070921a
1418099b470
15d90c5ac9
hex8a8a38ca

2324314314 has 72 divisors (see below), whose sum is σ = 5866799328. Its totient is φ = 663117840.

The previous prime is 2324314297. The next prime is 2324314319. The reversal of 2324314314 is 4134134232.

2324314314 is a `hidden beast` number, since 2 + 32 + 4 + 314 + 314 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324314319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 780849 + ... + 783819.

It is an arithmetic number, because the mean of its divisors is an integer number (81483324).

Almost surely, 22324314314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324314314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933399664).

2324314314 is an abundant number, since it is smaller than the sum of its proper divisors (3542485014).

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

2324314314 is a wasteful number, since it uses less digits than its factorization.

2324314314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3870 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2324314314 is about 48211.1430480548. The cubic root of 2324314314 is about 1324.6412820788.

Adding to 2324314314 its reverse (4134134232), we get a palindrome (6458448546).

The spelling of 2324314314 in words is "two billion, three hundred twenty-four million, three hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 887 1774 2661 2971 5322 5942 6209 7983 8913 12418 15966 17826 18627 20797 26739 37254 41594 43463 53478 55881 62391 86926 111762 124782 130389 145579 187173 260778 291158 374346 391167 436737 782334 873474 1310211 2620422 2635277 5270554 7905831 15811662 18446939 23717493 36893878 47434986 55340817 110681634 129128573 166022451 258257146 332044902 387385719 774771438 1162157157 2324314314