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1944 = 2335
BaseRepresentation
bin11110011000
32200000
4132120
530234
613000
75445
oct3630
92600
101944
111508
121160
13b67
149cc
15899
hex798

1944 has 24 divisors (see below), whose sum is σ = 5460. Its totient is φ = 648.

The previous prime is 1933. The next prime is 1949. The reversal of 1944 is 4491.

Multipling 1944 by its product of digits (144), we get a 7-th power (279936 = 67).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1944 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (24).

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 an Ulam number.

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 3.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949) by changing a digit.

1944 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 5 ways as a sum of consecutive naturals, for example, 647 + 648 + 649.

21944 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 1944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730).

1944 is an abundant number, since it is smaller than the sum of its proper divisors (3516).

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

1944 is an equidigital number, since it uses as much as digits as its factorization.

1944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21 (or 5 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1944 is about 44.0908153701. The cubic root of 1944 is about 12.4805029383.

The spelling of 1944 in words is "one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944