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434213441304 = 233191516306109
BaseRepresentation
bin1100101000110010010…
…00110100111100011000
31112111210002012021020120
412110121020310330120
524103232120110204
6531250324553240
743241133232206
oct6243110647430
91474702167216
10434213441304
11158170193225
12701a1252820
1331c3b907176
1417032042076
15b4653a96d9
hex6519234f18

434213441304 has 64 divisors (see below), whose sum is σ = 1150234464000. Its totient is φ = 136211932800.

The previous prime is 434213441269. The next prime is 434213441317. The reversal of 434213441304 is 403144312434.

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 15 ways as a sum of consecutive naturals, for example, 3084199 + ... + 3221910.

It is an arithmetic number, because the mean of its divisors is an integer number (17972413500).

Almost surely, 2434213441304 is an apocalyptic number.

It is an amenable number.

434213441304 is an abundant number, since it is smaller than the sum of its proper divisors (716021022696).

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

434213441304 is a wasteful number, since it uses less digits than its factorization.

434213441304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306288 (or 6306284 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 434213441304 its reverse (403144312434), we get a palindrome (837357753738).

The spelling of 434213441304 in words is "four hundred thirty-four billion, two hundred thirteen million, four hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 151 152 228 302 453 456 604 906 1208 1812 2869 3624 5738 8607 11476 17214 22952 34428 68856 6306109 12612218 18918327 25224436 37836654 50448872 75673308 119816071 151346616 239632142 359448213 479264284 718896426 952222459 958528568 1437792852 1904444918 2856667377 2875585704 3808889836 5713334754 7617779672 11426669508 18092226721 22853339016 36184453442 54276680163 72368906884 108553360326 144737813768 217106720652 434213441304