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12340314320 = 2452944312007
BaseRepresentation
bin10110111111000101…
…00100000011010000
31011212000110220211112
423133202210003100
5200233110024240
65400303432452
7614542640525
oct133742440320
934760426745
1012340314320
115262870884
1224848b5728
131218809249
14850cc714c
154c3594665
hex2df8a40d0

12340314320 has 80 divisors (see below), whose sum is σ = 29750060160. Its totient is φ = 4754760192.

The previous prime is 12340314317. The next prime is 12340314323. The reversal of 12340314320 is 2341304321.

It is an interprime number because it is at equal distance from previous prime (12340314317) and next prime (12340314323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340314323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021757 + ... + 1033763.

It is an arithmetic number, because the mean of its divisors is an integer number (371875752).

Almost surely, 212340314320 is an apocalyptic number.

12340314320 is a gapful number since it is divisible by the number (10) 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 12340314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875030080).

12340314320 is an abundant number, since it is smaller than the sum of its proper divisors (17409745840).

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

12340314320 is a wasteful number, since it uses less digits than its factorization.

12340314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12340314320 its reverse (2341304321), we get a palindrome (14681618641).

Subtracting from 12340314320 its reverse (2341304321), we obtain a palindrome (9999009999).

The spelling of 12340314320 in words is "twelve billion, three hundred forty million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 443 464 580 886 1160 1772 2215 2320 3544 4430 7088 8860 12007 12847 17720 24014 25694 35440 48028 51388 60035 64235 96056 102776 120070 128470 192112 205552 240140 256940 348203 480280 513880 696406 960560 1027760 1392812 1741015 2785624 3482030 5319101 5571248 6964060 10638202 13928120 21276404 26595505 27856240 42552808 53191010 85105616 106382020 154253929 212764040 308507858 425528080 617015716 771269645 1234031432 1542539290 2468062864 3085078580 6170157160 12340314320