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426434260 = 225722318919
BaseRepresentation
bin11001011010101…
…101111011010100
31002201102002211111
4121122231323110
51333131344020
6110151544404
713365426400
oct3132557324
91081362744
10426434260
111a979040a
12ba98b104
136a468585
14408c6100
1527685d5a
hex196aded4

426434260 has 72 divisors (see below), whose sum is σ = 1087067520. Its totient is φ = 139841856.

The previous prime is 426434257. The next prime is 426434263. The reversal of 426434260 is 62434624.

It is an interprime number because it is at equal distance from previous prime (426434257) and next prime (426434263).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426434263) 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, 13081 + ... + 31999.

It is an arithmetic number, because the mean of its divisors is an integer number (15098160).

Almost surely, 2426434260 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 426434260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543533760).

426434260 is an abundant number, since it is smaller than the sum of its proper divisors (660633260).

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

426434260 is a wasteful number, since it uses less digits than its factorization.

426434260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18965 (or 18956 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 426434260 is about 20650.2847437995. The cubic root of 426434260 is about 752.6921088747.

Adding to 426434260 its reverse (62434624), we get a palindrome (488868884).

The spelling of 426434260 in words is "four hundred twenty-six million, four hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 4508 5635 11270 18919 22540 37838 75676 94595 132433 189190 264866 378380 435137 529732 662165 870274 927031 1324330 1740548 1854062 2175685 2648660 3045959 3708124 4351370 4635155 6091918 8702740 9270310 12183836 15229795 18540620 21321713 30459590 42643426 60919180 85286852 106608565 213217130 426434260