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430420926 = 2313173137283
BaseRepresentation
bin11001101001111…
…011001110111110
31002222220122111210
4121221323032332
51340141432201
6110413225250
713444342335
oct3151731676
91088818453
10430420926
11200a63681
12100192226
136b233050
1441242d1c
1527bc21d6
hex19a7b3be

430420926 has 128 divisors (see below), whose sum is σ = 1044320256. Its totient is φ = 116951040.

The previous prime is 430420891. The next prime is 430420951. The reversal of 430420926 is 629024034.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 430420893 and 430420902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1520781 + ... + 1521063.

It is an arithmetic number, because the mean of its divisors is an integer number (8158752).

Almost surely, 2430420926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430420926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522160128).

430420926 is an abundant number, since it is smaller than the sum of its proper divisors (613899330).

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

430420926 is a wasteful number, since it uses less digits than its factorization.

430420926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 430420926 is about 20746.5882978383. The cubic root of 430420926 is about 755.0304366193.

The spelling of 430420926 in words is "four hundred thirty million, four hundred twenty thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 13 17 26 31 34 37 39 51 62 74 78 93 102 111 186 221 222 283 403 442 481 527 566 629 663 806 849 962 1054 1147 1209 1258 1326 1443 1581 1698 1887 2294 2418 2886 3162 3441 3679 3774 4811 6851 6882 7358 8177 8773 9622 10471 11037 13702 14433 14911 16354 17546 19499 20553 20942 22074 24531 26319 28866 29822 31413 38998 41106 44733 49062 52638 58497 62543 62826 89466 114049 116994 125086 136123 149141 178007 187629 228098 253487 272246 298282 324601 342147 356014 375258 408369 447423 506974 534021 649202 684294 760461 816738 894846 973803 1068042 1520922 1938833 1947606 2314091 3877666 4219813 4628182 5518217 5816499 6942273 8439626 11036434 11632998 12659439 13884546 16554651 25318878 33109302 71736821 143473642 215210463 430420926