Search a number
-
+
434430430314 = 232941178934039
BaseRepresentation
bin1100101001001100001…
…00100100110001101010
31112112100012111110012120
412110212010210301222
524104203142232224
6531324035452110
743246406505216
oct6244604446152
91475305443176
10434430430314
1115827171a291
1270241a57036
1331c7485c22a
1417052ba7946
15b47946c779
hex6526124c6a

434430430314 has 64 divisors (see below), whose sum is σ = 921285792000. Its totient is φ = 136326274560.

The previous prime is 434430430303. The next prime is 434430430321. The reversal of 434430430314 is 413034034434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12745707 + ... + 12779745.

It is an arithmetic number, because the mean of its divisors is an integer number (14395090500).

Almost surely, 2434430430314 is an apocalyptic number.

434430430314 is an abundant number, since it is smaller than the sum of its proper divisors (486855361686).

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

434430430314 is a wasteful number, since it uses less digits than its factorization.

434430430314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35903.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 434430430314 its reverse (413034034434), we get a palindrome (847464464748).

The spelling of 434430430314 in words is "four hundred thirty-four billion, four hundred thirty million, four hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 29 41 58 82 87 123 174 246 1189 1789 2378 3567 3578 5367 7134 10734 34039 51881 68078 73349 102117 103762 146698 155643 204234 220047 311286 440094 987131 1395599 1974262 2127121 2791198 2961393 4186797 4254242 5922786 6381363 8373594 12762726 40472371 60895771 80944742 121417113 121791542 182687313 242834226 365374626 1765977359 2496726611 3531954718 4993453222 5297932077 7490179833 10595864154 14980359666 72405071719 144810143438 217215215157 434430430314