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304065 = 32529233
BaseRepresentation
bin1001010001111000001
3120110002200
41022033001
534212230
610303413
72404326
oct1121701
9513080
10304065
111984a3
12127b69
13a8528
147cb4d
1560160
hex4a3c1

304065 has 24 divisors (see below), whose sum is σ = 547560. Its totient is φ = 155904.

The previous prime is 304063. The next prime is 304067. The reversal of 304065 is 560403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (304063) and next prime (304067).

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 294849 = 96^2 + 543^2 .

It is not a de Polignac number, because 304065 - 21 = 304063 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 304065.

It is not an unprimeable number, because it can be changed into a prime (304063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2304065 is an apocalyptic number.

It is an amenable number.

304065 is a deficient number, since it is larger than the sum of its proper divisors (243495).

304065 is a wasteful number, since it uses less digits than its factorization.

304065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 304065 is about 551.4208918784. The cubic root of 304065 is about 67.2443000840.

Adding to 304065 its reverse (560403), we get a palindrome (864468).

It can be divided in two parts, 30 and 4065, that added together give a triangular number (4095 = T90).

The spelling of 304065 in words is "three hundred four thousand, sixty-five".

Divisors: 1 3 5 9 15 29 45 87 145 233 261 435 699 1165 1305 2097 3495 6757 10485 20271 33785 60813 101355 304065