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323008 = 2672103
BaseRepresentation
bin1001110110111000000
3121102002021
41032313000
540314013
610531224
72513500
oct1166700
9542067
10323008
11200754
12136b14
13b403a
1485a00
1565a8d
hex4edc0

323008 has 42 divisors (see below), whose sum is σ = 752856. Its totient is φ = 137088.

The previous prime is 323003. The next prime is 323009. The reversal of 323008 is 800323.

It is a happy number.

323008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 322982 and 323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323003) by changing a digit.

323008 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, 3085 + ... + 3187.

2323008 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 323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376428).

323008 is an abundant number, since it is smaller than the sum of its proper divisors (429848).

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

323008 is a wasteful number, since it uses less digits than its factorization.

323008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 323008 is about 568.3379276452. The cubic root of 323008 is about 68.6126868109.

The spelling of 323008 in words is "three hundred twenty-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 103 112 196 206 224 392 412 448 721 784 824 1442 1568 1648 2884 3136 3296 5047 5768 6592 10094 11536 20188 23072 40376 46144 80752 161504 323008