Search a number
-
+
428734460 = 225711225309
BaseRepresentation
bin11001100011011…
…111011111111100
31002212201222010002
4121203133133330
51334224000320
6110313133432
713424116460
oct3143373774
91085658102
10428734460
11200011600
12bb6ba278
136aa9253b
1440d244a0
152798c675
hex198df7fc

428734460 has 72 divisors (see below), whose sum is σ = 1131053280. Its totient is φ = 133626240.

The previous prime is 428734459. The next prime is 428734483. The reversal of 428734460 is 64437824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4286 + ... + 29594.

Almost surely, 2428734460 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 428734460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565526640).

428734460 is an abundant number, since it is smaller than the sum of its proper divisors (702318820).

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

428734460 is a wasteful number, since it uses less digits than its factorization.

428734460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25347 (or 25334 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 428734460 is about 20705.9039889593. The cubic root of 428734460 is about 754.0430312201.

The spelling of 428734460 in words is "four hundred twenty-eight million, seven hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 16940 25309 50618 101236 126545 177163 253090 278399 354326 506180 556798 708652 885815 1113596 1391995 1771630 1948793 2783990 3062389 3543260 3897586 5567980 6124778 7795172 9743965 12249556 15311945 19487930 21436723 30623890 38975860 42873446 61247780 85746892 107183615 214367230 428734460