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332001 = 3237997
BaseRepresentation
bin1010001000011100001
3121212102100
41101003201
541111001
611041013
72551635
oct1210341
9555370
10332001
1120748a
12140169
13b8167
1488dc5
1568586
hex510e1

332001 has 12 divisors (see below), whose sum is σ = 493012. Its totient is φ = 215136.

The previous prime is 331999. The next prime is 332009. The reversal of 332001 is 100233.

It is a happy number.

332001 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 40401 = 540^2 + 201^2 .

It is not a de Polignac number, because 332001 - 21 = 331999 is a prime.

It is a super-2 number, since 2×3320012 = 220449328002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

332001 is a lucky 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 332001.

It is not an unprimeable number, because it can be changed into a prime (332009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166 + ... + 831.

2332001 is an apocalyptic number.

332001 is the 333-rd octagonal number.

It is an amenable number.

332001 is a deficient number, since it is larger than the sum of its proper divisors (161011).

332001 is a wasteful number, since it uses less digits than its factorization.

332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 332001 is about 576.1952793975. The cubic root of 332001 is about 69.2436252478.

Adding to 332001 its reverse (100233), we get a palindrome (432234).

The spelling of 332001 in words is "three hundred thirty-two thousand, one".

Divisors: 1 3 9 37 111 333 997 2991 8973 36889 110667 332001