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320385 = 35133153
BaseRepresentation
bin1001110001110000001
3121021111010
41032032001
540223020
610511133
72503032
oct1161601
9537433
10320385
111a978a
121354a9
13b2aa0
1484a89
1564de0
hex4e381

320385 has 32 divisors (see below), whose sum is σ = 580608. Its totient is φ = 149760.

The previous prime is 320377. The next prime is 320387. The reversal of 320385 is 583023.

320385 = T65 + T66 + ... + T129.

It is not a de Polignac number, because 320385 - 23 = 320377 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320385.

It is not an unprimeable number, because it can be changed into a prime (320387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6019 + ... + 6071.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2320385 is an apocalyptic number.

It is an amenable number.

320385 is a deficient number, since it is larger than the sum of its proper divisors (260223).

320385 is a wasteful number, since it uses less digits than its factorization.

320385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 320385 is about 566.0256177948. The cubic root of 320385 is about 68.4264577376.

The spelling of 320385 in words is "three hundred twenty thousand, three hundred eighty-five".

Divisors: 1 3 5 13 15 31 39 53 65 93 155 159 195 265 403 465 689 795 1209 1643 2015 2067 3445 4929 6045 8215 10335 21359 24645 64077 106795 320385