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332244 = 223211839
BaseRepresentation
bin1010001000111010100
3121212202100
41101013110
541112434
611042100
72552433
oct1210724
9555670
10332244
11207690
12140330
13b82c3
148911a
1568699
hex511d4

332244 has 36 divisors (see below), whose sum is σ = 917280. Its totient is φ = 100560.

The previous prime is 332221. The next prime is 332251. The reversal of 332244 is 442233.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3322443 = 110025333841148352, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2332244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

332244 is an abundant number, since it is smaller than the sum of its proper divisors (585036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332244 is a wasteful number, since it uses less digits than its factorization.

332244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 855 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 332244 is about 576.4061068379. The cubic root of 332244 is about 69.2605148530.

Adding to 332244 its reverse (442233), we get a palindrome (774477).

It can be divided in two parts, 332 and 244, that added together give a square (576 = 242).

The spelling of 332244 in words is "three hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 839 1678 2517 3356 5034 7551 9229 10068 15102 18458 27687 30204 36916 55374 83061 110748 166122 332244