Search a number
-
+
434113013320 = 23572367408853
BaseRepresentation
bin1100101000100110010…
…01101110011001001000
31112111112002012222221121
412110103021232121020
524103030412411240
6531232340245024
743235503505230
oct6242311563110
91474462188847
10434113013320
1115811952a198
12701736a0774
1331c23b7391c
141702297ccc0
15b45b66d04a
hex651326e648

434113013320 has 64 divisors (see below), whose sum is σ = 1164824997120. Its totient is φ = 142367495424.

The previous prime is 434113013317. The next prime is 434113013333. The reversal of 434113013320 is 23310311434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33697987 + ... + 33710866.

It is an arithmetic number, because the mean of its divisors is an integer number (18200390580).

Almost surely, 2434113013320 is an apocalyptic number.

434113013320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434113013320 is an abundant number, since it is smaller than the sum of its proper divisors (730711983800).

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

434113013320 is a wasteful number, since it uses less digits than its factorization.

434113013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67408894 (or 67408890 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 434113013320 its reverse (23310311434), we get a palindrome (457423324754).

The spelling of 434113013320 in words is "four hundred thirty-four billion, one hundred thirteen million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 67408853 134817706 269635412 337044265 471861971 539270824 674088530 943723942 1348177060 1550403619 1887447884 2359309855 2696354120 3100807238 3774895768 4718619710 6201614476 7752018095 9437239420 10852825333 12403228952 15504036190 18874478840 21705650666 31008072380 43411301332 54264126665 62016144760 86822602664 108528253330 217056506660 434113013320