Search a number
-
+
830934 = 232135367
BaseRepresentation
bin11001010110111010110
31120012211100
43022313112
5203042214
625450530
710030356
oct3126726
91505740
10830934
11518325
12340a46
132312a0
14178b66
15116309
hexcadd6

830934 has 48 divisors (see below), whose sum is σ = 2004912. Its totient is φ = 247104.

The previous prime is 830923. The next prime is 830939. The reversal of 830934 is 439038.

It is a junction number, because it is equal to n+sod(n) for n = 830898 and 830907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830939) by changing a digit.

830934 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12369 + ... + 12435.

It is an arithmetic number, because the mean of its divisors is an integer number (41769).

2830934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002456).

830934 is an abundant number, since it is smaller than the sum of its proper divisors (1173978).

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

830934 is a wasteful number, since it uses less digits than its factorization.

830934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 830934 is about 911.5558128826. Note that the first 3 decimals coincide. The cubic root of 830934 is about 94.0132017070.

It can be divided in two parts, 830 and 934, that added together give a square (1764 = 422).

The spelling of 830934 in words is "eight hundred thirty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 67 78 106 117 134 159 201 234 318 402 477 603 689 871 954 1206 1378 1742 2067 2613 3551 4134 5226 6201 7102 7839 10653 12402 15678 21306 31959 46163 63918 92326 138489 276978 415467 830934