Search a number
-
+
2287341 = 32736307
BaseRepresentation
bin1000101110011011101101
311022012122100
420232123231
51041143331
6121005313
725304430
oct10563355
94265570
102287341
111322571
12923839
13621174
14437817
15302ae6
hex22e6ed

2287341 has 12 divisors (see below), whose sum is σ = 3776032. Its totient is φ = 1307016.

The previous prime is 2287319. The next prime is 2287343. The reversal of 2287341 is 1437822.

It is not a de Polignac number, because 2287341 - 217 = 2156269 is a prime.

It is a d-powerful number, because it can be written as 2 + 217 + 87 + 72 + 310 + 42 + 1 .

It is a Duffinian number.

2287341 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18091 + ... + 18216.

22287341 is an apocalyptic number.

2287341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2287341 is a deficient number, since it is larger than the sum of its proper divisors (1488691).

2287341 is a wasteful number, since it uses less digits than its factorization.

2287341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36320 (or 36317 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2287341 is about 1512.3957815334. The cubic root of 2287341 is about 131.7579932187.

It can be divided in two parts, 2287 and 341, that added together give a triangular number (2628 = T72).

The spelling of 2287341 in words is "two million, two hundred eighty-seven thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 36307 108921 254149 326763 762447 2287341