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830256 = 24372353
BaseRepresentation
bin11001010101100110000
31120011220020
43022230300
5203032011
625443440
710025400
oct3125460
91504806
10830256
11517869
12340580
13230b9b
14178800
15116006
hexcab30

830256 has 60 divisors (see below), whose sum is σ = 2502072. Its totient is φ = 236544.

The previous prime is 830237. The next prime is 830257. The reversal of 830256 is 652038.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (830257) by changing a digit.

830256 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 11 ways as a sum of consecutive naturals, for example, 2176 + ... + 2528.

2830256 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 830256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251036).

830256 is an abundant number, since it is smaller than the sum of its proper divisors (1671816).

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

830256 is a wasteful number, since it uses less digits than its factorization.

830256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 830256 is about 911.1838453353. The cubic root of 830256 is about 93.9876247478.

The spelling of 830256 in words is "eight hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 353 392 588 706 784 1059 1176 1412 2118 2352 2471 2824 4236 4942 5648 7413 8472 9884 14826 16944 17297 19768 29652 34594 39536 51891 59304 69188 103782 118608 138376 207564 276752 415128 830256