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320364 = 223211809
BaseRepresentation
bin1001110001101101100
3121021110100
41032031230
540222424
610511100
72503002
oct1161554
9537410
10320364
111a9770
12135490
13b2a85
1484a72
1564dc9
hex4e36c

320364 has 36 divisors (see below), whose sum is σ = 884520. Its totient is φ = 96960.

The previous prime is 320339. The next prime is 320377. The reversal of 320364 is 463023.

It is a tau number, because it is divible by the number of its divisors (36).

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 320364.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2320364 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 320364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

320364 is an abundant number, since it is smaller than the sum of its proper divisors (564156).

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

320364 is a wasteful number, since it uses less digits than its factorization.

320364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320364 is about 566.0070670937. The cubic root of 320364 is about 68.4249626749.

Adding to 320364 its reverse (463023), we get a palindrome (783387).

The spelling of 320364 in words is "three hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 809 1618 2427 3236 4854 7281 8899 9708 14562 17798 26697 29124 35596 53394 80091 106788 160182 320364