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4404 = 223367
BaseRepresentation
bin1000100110100
320001010
41010310
5120104
632220
715561
oct10464
96033
104404
113344
122670
13200a
141868
151489
hex1134

4404 has 12 divisors (see below), whose sum is σ = 10304. Its totient is φ = 1464.

The previous prime is 4397. The next prime is 4409. The reversal of 4404 is 4044.

Adding to 4404 its reverse (4044), we get a palindrome (8448).

It can be divided in two parts, 440 and 4, that added together give a palindrome (444).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 367 = 4404 / (4 + 4 + 0 + 4).

It is an Ulam number.

It is a plaindrome in base 11, base 15 and base 16.

It is a nialpdrome in base 6.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 4404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4409) 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 3 ways as a sum of consecutive naturals, for example, 172 + ... + 195.

It is an amenable number.

4404 is an abundant number, since it is smaller than the sum of its proper divisors (5900).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152).

4404 is a wasteful number, since it uses less digits than its factorization.

4404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4404 is about 66.3626400921. The cubic root of 4404 is about 16.3913894915.

The spelling of 4404 in words is "four thousand, four hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 367 734 1101 1468 2202 4404