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442332 = 2232111117
BaseRepresentation
bin1101011111111011100
3211110202200
41223333130
5103123312
613251500
73521412
oct1537734
9743680
10442332
11282370
12193b90
13126447
14b72b2
158b0dc
hex6bfdc

442332 has 36 divisors (see below), whose sum is σ = 1220856. Its totient is φ = 133920.

The previous prime is 442327. The next prime is 442333. The reversal of 442332 is 233244.

442332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 d-powerful number, because it can be written as 44 + 49 + 36 + 23 + 311 + 211 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442333) by changing a digit.

442332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 954.

2442332 is an apocalyptic number.

It is an amenable number.

442332 is an abundant number, since it is smaller than the sum of its proper divisors (778524).

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

442332 is a wasteful number, since it uses less digits than its factorization.

442332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1133 counting only the distinct ones).

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

The square root of 442332 is about 665.0804462620. The cubic root of 442332 is about 76.1931835099.

Adding to 442332 its reverse (233244), we get a palindrome (675576).

The spelling of 442332 in words is "four hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1117 2234 3351 4468 6702 10053 12287 13404 20106 24574 36861 40212 49148 73722 110583 147444 221166 442332