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434364463434 = 231122920630971
BaseRepresentation
bin1100101001000100010…
…00111011100101001010
31112112011121100222122210
412110202020323211022
524104034300312214
6531313321525550
743244646010026
oct6244210734512
91475147328583
10434364463434
11158238463400
12702239438b6
1331c63ca3385
1417048115386
15b47378bb59
hex652223b94a

434364463434 has 48 divisors (see below), whose sum is σ = 987810939360. Its totient is φ = 127086775200.

The previous prime is 434364463433. The next prime is 434364463471.

434364463434 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (434364463433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10294432 + ... + 10336539.

It is an arithmetic number, because the mean of its divisors is an integer number (20579394570).

Almost surely, 2434364463434 is an apocalyptic number.

434364463434 is an abundant number, since it is smaller than the sum of its proper divisors (553446475926).

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

434364463434 is a wasteful number, since it uses less digits than its factorization.

434364463434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20631027 (or 20631016 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

It can be divided in two parts, 434364 and 463434, that added together give a palindrome (897798).

The spelling of 434364463434 in words is "four hundred thirty-four billion, three hundred sixty-four million, four hundred sixty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1914 3509 7018 10527 21054 20630971 41261942 61892913 123785826 226940681 453881362 598298159 680822043 1196596318 1361644086 1794894477 2496347491 3589788954 4992694982 6581279749 7489042473 13162559498 14978084946 19743839247 39487678494 72394077239 144788154478 217182231717 434364463434