Search a number
-
+
428340 = 223511259
BaseRepresentation
bin1101000100100110100
3210202120110
41220210310
5102201330
613103020
73432543
oct1504464
9722513
10428340
11272900
12187a70
1311cc73
14b215a
1586db0
hex68934

428340 has 72 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 102080.

The previous prime is 428339. The next prime is 428353. The reversal of 428340 is 43824.

It is a happy number.

428340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 7231 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2428340 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 428340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

428340 is an abundant number, since it is smaller than the sum of its proper divisors (912300).

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

428340 is a wasteful number, since it uses less digits than its factorization.

428340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 428340 is about 654.4768903483. The cubic root of 428340 is about 75.3811706155.

The spelling of 428340 in words is "four hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 121 132 165 177 220 236 242 295 330 354 363 484 590 605 649 660 708 726 885 1180 1210 1298 1452 1770 1815 1947 2420 2596 3245 3540 3630 3894 6490 7139 7260 7788 9735 12980 14278 19470 21417 28556 35695 38940 42834 71390 85668 107085 142780 214170 428340