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320256 = 2832139
BaseRepresentation
bin1001110001100000000
3121021022100
41032030000
540222011
610510400
72502456
oct1161400
9537270
10320256
111a9682
12135400
13b2a01
14849d6
1564d56
hex4e300

320256 has 54 divisors (see below), whose sum is σ = 930020. Its totient is φ = 105984.

The previous prime is 320239. The next prime is 320267. The reversal of 320256 is 652023.

320256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320256.

It is an unprimeable number.

320256 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 5 ways as a sum of consecutive naturals, for example, 2235 + ... + 2373.

2320256 is an apocalyptic number.

320256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465010).

320256 is an abundant number, since it is smaller than the sum of its proper divisors (609764).

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

320256 is a wasteful number, since it uses less digits than its factorization.

320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 320256 is about 565.9116538825. The cubic root of 320256 is about 68.4172727487.

Adding to 320256 its reverse (652023), we get a palindrome (972279).

It can be divided in two parts, 320 and 256, that added together give a square (576 = 242).

The spelling of 320256 in words is "three hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 556 576 768 834 1112 1152 1251 1668 2224 2304 2502 3336 4448 5004 6672 8896 10008 13344 17792 20016 26688 35584 40032 53376 80064 106752 160128 320256