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304304 = 247111319
BaseRepresentation
bin1001010010010110000
3120110102112
41022102300
534214204
610304452
72405120
oct1122260
9513375
10304304
111986a0
12128128
13a8680
147cc80
156026e
hex4a4b0

304304 has 80 divisors (see below), whose sum is σ = 833280. Its totient is φ = 103680.

The previous prime is 304303. The next prime is 304331. The reversal of 304304 is 403403.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (304301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16007 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2304304 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 304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

304304 is an abundant number, since it is smaller than the sum of its proper divisors (528976).

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

304304 is a wasteful number, since it uses less digits than its factorization.

304304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 304304 is about 551.6375621728. The cubic root of 304304 is about 67.2619138384.

304304 divided by its sum of digits (14) gives a triangular number (21736 = T208).

Adding to 304304 its reverse (403403), we get a palindrome (707707).

Subtracting 304304 from its reverse (403403), we obtain a palindrome (99099).

It can be divided in two parts, 30 and 4304, that added together give a palindrome (4334).

The spelling of 304304 in words is "three hundred four thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 13 14 16 19 22 26 28 38 44 52 56 76 77 88 91 104 112 133 143 152 154 176 182 208 209 247 266 286 304 308 364 418 494 532 572 616 728 836 988 1001 1064 1144 1232 1456 1463 1672 1729 1976 2002 2128 2288 2717 2926 3344 3458 3952 4004 5434 5852 6916 8008 10868 11704 13832 16016 19019 21736 23408 27664 38038 43472 76076 152152 304304