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426734784 = 2633735279
BaseRepresentation
bin11001011011110…
…111010011000000
31002201222101002000
4121123313103000
51333221003114
6110202224000
713401120510
oct3133672300
91081871060
10426734784
111a9976183
12baab5000
136a5422b8
1440963840
15276e4e09
hex196f74c0

426734784 has 112 divisors (see below), whose sum is σ = 1433779200. Its totient is φ = 121920768.

The previous prime is 426734743. The next prime is 426734827. The reversal of 426734784 is 487437624.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5544 + ... + 29735.

It is an arithmetic number, because the mean of its divisors is an integer number (12801600).

Almost surely, 2426734784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716889600).

426734784 is an abundant number, since it is smaller than the sum of its proper divisors (1007044416).

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

426734784 is a wasteful number, since it uses less digits than its factorization.

426734784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35307 (or 35291 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 426734784 is about 20657.5599720780. The cubic root of 426734784 is about 752.8688840135.

The spelling of 426734784 in words is "four hundred twenty-six million, seven hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 35279 70558 105837 141116 211674 246953 282232 317511 423348 493906 564464 635022 740859 846696 952533 987812 1128928 1270044 1481718 1693392 1905066 1975624 2222577 2257856 2540088 2963436 3386784 3810132 3951248 4445154 5080176 5926872 6667731 6773568 7620264 7902496 8890308 10160352 11853744 13335462 15240528 15804992 17780616 20320704 23707488 26670924 30481056 35561232 47414976 53341848 60962112 71122464 106683696 142244928 213367392 426734784