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444 = 22337
BaseRepresentation
bin110111100
3121110
412330
53234
62020
71203
oct674
9543
10444
11374
12310
13282
1423a
151e9
hex1bc

444 has 12 divisors (see below), whose sum is σ = 1064. Its totient is φ = 144.

The previous prime is 443. The next prime is 449.

444 is nontrivially palindromic in base 10 and base 13.

444 is an esthetic number in base 5 and base 9, because in such bases its adjacent digits differ by 1.

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: 37 = 444 / (4 + 4 + 4).

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

444 is an undulating number in base 6 and base 13.

444 is a modest number, since divided by 44 gives 4 as remainder.

444 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10, base 14 and base 16.

It is a nialpdrome in base 9, base 10 and base 12.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 30.

It is an amenable number.

444 is an abundant number, since it is smaller than the sum of its proper divisors (620).

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 (532).

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

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

The sum of its prime factors is 44 (or 42 counting only the distinct ones).

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

The square root of 444 is about 21.0713075057. The cubic root of 444 is about 7.6288836259.

The spelling of 444 in words is "four hundred forty-four", and thus it is an aban number and an iban number.

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444