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444204 = 2235457
BaseRepresentation
bin1101100011100101100
3211120100000
41230130230
5103203304
613304300
73530025
oct1543454
9746300
10444204
11283812
12195090
13127257
14b7c4c
158b939
hex6c72c

444204 has 36 divisors (see below), whose sum is σ = 1166984. Its totient is φ = 147744.

The previous prime is 444187. The next prime is 444209. The reversal of 444204 is 402444.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (444209) by changing a digit.

444204 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, 744 + ... + 1200.

2444204 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 444204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583492).

444204 is an abundant number, since it is smaller than the sum of its proper divisors (722780).

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

444204 is a wasteful number, since it uses less digits than its factorization.

444204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444204 is about 666.4863089367. The cubic root of 444204 is about 76.3005183454.

Adding to 444204 its reverse (402444), we get a palindrome (846648).

The spelling of 444204 in words is "four hundred forty-four thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 457 486 914 972 1371 1828 2742 4113 5484 8226 12339 16452 24678 37017 49356 74034 111051 148068 222102 444204