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12304345230 = 2335891513391
BaseRepresentation
bin10110111010110010…
…10110100010001110
31011202111210111112000
423131121112202032
5200144403021410
65352540453130
7613625131422
oct133531264216
934674714460
1012304345230
115244533761
12247484a1a6
131211224368
1484a202b82
154c033bdc0
hex2dd65688e

12304345230 has 128 divisors (see below), whose sum is σ = 33409843200. Its totient is φ = 3221856000.

The previous prime is 12304345217. The next prime is 12304345231. The reversal of 12304345230 is 3254340321.

12304345230 is a `hidden beast` number, since 12 + 304 + 345 + 2 + 3 + 0 = 666.

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 = 12304345194 and 12304345203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304345231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3626835 + ... + 3630225.

It is an arithmetic number, because the mean of its divisors is an integer number (261014400).

Almost surely, 212304345230 is an apocalyptic number.

12304345230 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 12304345230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704921600).

12304345230 is an abundant number, since it is smaller than the sum of its proper divisors (21105497970).

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

12304345230 is a wasteful number, since it uses less digits than its factorization.

12304345230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12304345230 its reverse (3254340321), we get a palindrome (15558685551).

The spelling of 12304345230 in words is "twelve billion, three hundred four million, three hundred forty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 135 151 178 267 270 302 445 453 534 755 801 890 906 1335 1359 1510 1602 2265 2403 2670 2718 3391 4005 4077 4530 4806 6782 6795 8010 8154 10173 12015 13439 13590 16955 20346 20385 24030 26878 30519 33910 40317 40770 50865 61038 67195 80634 91557 101730 120951 134390 152595 183114 201585 241902 301799 305190 362853 403170 457785 512041 603598 604755 725706 905397 915570 1024082 1209510 1508995 1536123 1810794 1814265 2560205 2716191 3017990 3072246 3628530 4526985 4608369 5120410 5432382 7680615 8148573 9053970 9216738 13580955 13825107 15361230 16297146 23041845 27161910 27650214 40742865 45571649 46083690 69125535 81485730 91143298 136714947 138251070 227858245 273429894 410144841 455716490 683574735 820289682 1230434523 1367149470 2050724205 2460869046 4101448410 6152172615 12304345230