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12343323432 = 23311371399091
BaseRepresentation
bin10110111111011100…
…00010101100101000
31011212020010210120010
423133232002230220
5200234342322212
65400452131520
7614610342456
oct133756025450
934766123503
1012343323432
115264536650
122485906ba0
131219320a9b
1485146b9d6
154c398b03c
hex2dfb82b28

12343323432 has 128 divisors (see below), whose sum is σ = 34825996800. Its totient is φ = 3612729600.

The previous prime is 12343323431. The next prime is 12343323439. The reversal of 12343323432 is 23432334321.

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 12343323432.

It is not an unprimeable number, because it can be changed into a prime (12343323431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353207 + ... + 1362297.

It is an arithmetic number, because the mean of its divisors is an integer number (272078100).

Almost surely, 212343323432 is an apocalyptic number.

12343323432 is a gapful number since it is divisible by the number (12) 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 12343323432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17412998400).

12343323432 is an abundant number, since it is smaller than the sum of its proper divisors (22482673368).

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

12343323432 is a wasteful number, since it uses less digits than its factorization.

12343323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9287 (or 9283 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

Adding to 12343323432 its reverse (23432334321), we get a palindrome (35775657753).

The spelling of 12343323432 in words is "twelve billion, three hundred forty-three million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 139 148 222 264 278 296 407 417 444 556 814 834 888 1112 1221 1529 1628 1668 2442 3058 3256 3336 4587 4884 5143 6116 9091 9174 9768 10286 12232 15429 18182 18348 20572 27273 30858 36364 36696 41144 54546 56573 61716 72728 100001 109092 113146 123432 169719 200002 218184 226292 300003 336367 339438 400004 452584 600006 672734 678876 800008 1009101 1200012 1263649 1345468 1357752 2018202 2400024 2527298 2690936 3700037 3790947 4036404 5054596 7400074 7581894 8072808 10109192 11100111 13900139 14800148 15163788 22200222 27800278 29600296 30327576 41700417 44400444 46755013 55600556 83400834 88800888 93510026 111201112 140265039 166801668 187020052 280530078 333603336 374040104 514305143 561060156 1028610286 1122120312 1542915429 2057220572 3085830858 4114441144 6171661716 12343323432