Base | Representation |
---|---|
bin | 1001110111010001000 |
3 | 121102100200 |
4 | 1032322020 |
5 | 40320313 |
6 | 10532200 |
7 | 2514204 |
oct | 1167210 |
9 | 542320 |
10 | 323208 |
11 | 200916 |
12 | 137060 |
13 | b4162 |
14 | 85b04 |
15 | 65b73 |
hex | 4ee88 |
323208 has 36 divisors (see below), whose sum is σ = 888615. Its totient is φ = 106128.
The previous prime is 323207. The next prime is 323233. The reversal of 323208 is 802323.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 161604 + 161604 = 402^2 + 402^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=402.
It is a super-2 number, since 2×3232082 = 208926822528, which contains 22 as substring.
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 Ulam number.
It is not an unprimeable number, because it can be changed into a prime (323201) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4791 + ... + 4857.
2323208 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 323208
323208 is an abundant number, since it is smaller than the sum of its proper divisors (565407).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
323208 is a wasteful number, since it uses less digits than its factorization.
323208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 72 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 323208 is about 568.5138520740. The cubic root of 323208 is about 68.6268450836.
Multiplying 323208 by its sum of digits (18), we get a square (5817744 = 24122).
323208 divided by its sum of digits (18) gives a square (17956 = 1342).
Multiplying 323208 by its product of nonzero digits (288), we get a square (93083904 = 96482).
It can be divided in two parts, 32 and 3208, that added together give a triangular number (3240 = T80).
The spelling of 323208 in words is "three hundred twenty-three thousand, two hundred eight".
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