Search a number
-
+
304317 = 3413172
BaseRepresentation
bin1001010010010111101
3120110110000
41022102331
534214232
610304513
72405136
oct1122275
9513400
10304317
11198702
12128139
13a8690
147cc8d
156027c
hex4a4bd

304317 has 30 divisors (see below), whose sum is σ = 520058. Its totient is φ = 176256.

The previous prime is 304303. The next prime is 304331. The reversal of 304317 is 713403.

304317 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (304303) and next prime (304331).

It can be written as a sum of positive squares in 3 ways, for example, as 68121 + 236196 = 261^2 + 486^2 .

It is not a de Polignac number, because 304317 - 24 = 304301 is a prime.

It is a Duffinian number.

304317 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 304317.

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 304317.

It is not an unprimeable number, because it can be changed into a prime (304357) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17893 + ... + 17909.

2304317 is an apocalyptic number.

It is an amenable number.

304317 is a deficient number, since it is larger than the sum of its proper divisors (215741).

304317 is a wasteful number, since it uses less digits than its factorization.

304317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 304317 is about 551.6493451460. The cubic root of 304317 is about 67.2628716443.

The spelling of 304317 in words is "three hundred four thousand, three hundred seventeen", and thus it is an iban number.

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 289 351 459 663 867 1053 1377 1989 2601 3757 5967 7803 11271 17901 23409 33813 101439 304317