Search a number
-
+
288369 = 321792
BaseRepresentation
bin1000110011001110001
3112122120100
41012121301
533211434
610103013
72310504
oct1063161
9478510
10288369
11187724
1211aa69
13a1343
147713b
155a699
hex46671

288369 has 9 divisors (see below), whose sum is σ = 418873. Its totient is φ = 191172.

The previous prime is 288361. The next prime is 288383. The reversal of 288369 is 963882.

Multipling 288369 by its sum of digits (36), we get a square (10381284 = 32222).

Multipling 288369 by its product of digits (20736), we get a square (5979619584 = 773282).

The square root of 288369 is 537.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 288369 - 23 = 288361 is a prime.

It is a super-2 number, since 2×2883692 = 166313360322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288369.

It is not an unprimeable number, because it can be changed into a prime (288361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1522 + ... + 1700.

288369 is a Friedman number, since it can be written as (9+8*6*(8+3))^2, using all its digits and the basic arithmetic operations.

2288369 is an apocalyptic number.

288369 is the 537-th square number.

288369 is the 269-th centered octagonal number.

It is an amenable number.

288369 is a deficient number, since it is larger than the sum of its proper divisors (130504).

288369 is an equidigital number, since it uses as much as digits as its factorization.

288369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The cubic root of 288369 is about 66.0667369029.

The spelling of 288369 in words is "two hundred eighty-eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 179 537 1611 32041 96123 288369