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434130244304 = 2441739065533
BaseRepresentation
bin1100101000101000010…
…11011101001011010000
31112111120021122102102012
412110110023131023100
524103044320304204
6531234153442052
743236103122311
oct6242413351320
91474507572365
10434130244304
11158128229079
1270179410328
1331c275c7883
1417024d86608
15b45ce2376e
hex65142dd2d0

434130244304 has 40 divisors (see below), whose sum is σ = 873446069832. Its totient is φ = 208869857280.

The previous prime is 434130244283. The next prime is 434130244333. The reversal of 434130244304 is 403442031434.

It can be written as a sum of positive squares in 4 ways, for example, as 87232803904 + 346897440400 = 295352^2 + 588980^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4484879 + ... + 4580654.

Almost surely, 2434130244304 is an apocalyptic number.

It is an amenable number.

434130244304 is an abundant number, since it is smaller than the sum of its proper divisors (439315825528).

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

434130244304 is a wasteful number, since it uses less digits than its factorization.

434130244304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065655 (or 9065649 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 434130244304 its reverse (403442031434), we get a palindrome (837572275738).

The spelling of 434130244304 in words is "four hundred thirty-four billion, one hundred thirty million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 41 73 82 146 164 292 328 584 656 1168 2993 5986 11972 23944 47888 9065533 18131066 36262132 72524264 145048528 371686853 661783909 743373706 1323567818 1486747412 2647135636 2973494824 5294271272 5946989648 10588542544 27133140269 54266280538 108532561076 217065122152 434130244304