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12343341330 = 234516939001
BaseRepresentation
bin10110111111011100…
…00111000100010010
31011212020011201010000
423133232013010102
5200234343410310
65400452350430
7614610445605
oct133756070422
934766151100
1012343341330
115264549041
122485915416
131219328c88
1485147433c
154c39914c0
hex2dfb87112

12343341330 has 80 divisors (see below), whose sum is σ = 33213167064. Its totient is φ = 3289248000.

The previous prime is 12343341259. The next prime is 12343341337. The reversal of 12343341330 is 3314334321.

It can be written as a sum of positive squares in 4 ways, for example, as 7238095929 + 5105245401 = 85077^2 + 71451^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12343341294 and 12343341303.

It is not an unprimeable number, because it can be changed into a prime (12343341337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1366830 + ... + 1375830.

Almost surely, 212343341330 is an apocalyptic number.

12343341330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343341330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606583532).

12343341330 is an abundant number, since it is smaller than the sum of its proper divisors (20869825734).

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

12343341330 is a wasteful number, since it uses less digits than its factorization.

12343341330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10713 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12343341330 its reverse (3314334321), we get a palindrome (15657675651).

The spelling of 12343341330 in words is "twelve billion, three hundred forty-three million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1693 3386 5079 8465 9001 10158 15237 16930 18002 25395 27003 30474 45005 45711 50790 54006 76185 81009 90010 91422 135015 137133 152370 162018 228555 243027 270030 274266 405045 457110 486054 685665 729081 810090 1215135 1371330 1458162 2430270 3645405 7290810 15238693 30477386 45716079 76193465 91432158 137148237 152386930 228580395 274296474 411444711 457160790 685741185 822889422 1234334133 1371482370 2057223555 2468668266 4114447110 6171670665 12343341330