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332289 = 3331397
BaseRepresentation
bin1010001001000000001
3121212211000
41101020001
541113124
611042213
72552526
oct1211001
9555730
10332289
11207721
12140369
13b8329
148914d
15686c9
hex51201

332289 has 16 divisors (see below), whose sum is σ = 509440. Its totient is φ = 213840.

The previous prime is 332287. The next prime is 332303. The reversal of 332289 is 982233.

It is not a de Polignac number, because 332289 - 21 = 332287 is a prime.

It is a super-2 number, since 2×3322892 = 220831959042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 332289.

It is not an unprimeable number, because it can be changed into a prime (332287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (31840).

2332289 is an apocalyptic number.

It is an amenable number.

332289 is a deficient number, since it is larger than the sum of its proper divisors (177151).

332289 is a wasteful number, since it uses less digits than its factorization.

332289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 332289 is about 576.4451404947. The cubic root of 332289 is about 69.2636416539.

The spelling of 332289 in words is "three hundred thirty-two thousand, two hundred eighty-nine".

Divisors: 1 3 9 27 31 93 279 397 837 1191 3573 10719 12307 36921 110763 332289