Search a number
-
+
203304 = 23343197
BaseRepresentation
bin110001101000101000
3101022212210
4301220220
523001204
64205120
71504503
oct615050
9338783
10203304
11129822
12997a0
13716ca
145413a
1540389
hex31a28

203304 has 32 divisors (see below), whose sum is σ = 522720. Its totient is φ = 65856.

The previous prime is 203293. The next prime is 203309. The reversal of 203304 is 403302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 203304.

It is not an unprimeable number, because it can be changed into a prime (203309) by changing a digit.

203304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 934 + ... + 1130.

It is an arithmetic number, because the mean of its divisors is an integer number (16335).

2203304 is an apocalyptic number.

203304 is a gapful number since it is divisible by the number (24) 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 203304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261360).

203304 is an abundant number, since it is smaller than the sum of its proper divisors (319416).

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

203304 is a wasteful number, since it uses less digits than its factorization.

203304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 203304 is about 450.8924483732. The cubic root of 203304 is about 58.8006293607.

Adding to 203304 its reverse (403302), we get a palindrome (606606).

The spelling of 203304 in words is "two hundred three thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 197 258 344 394 516 591 788 1032 1182 1576 2364 4728 8471 16942 25413 33884 50826 67768 101652 203304