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2944 = 2723
BaseRepresentation
bin101110000000
311001001
4232000
543234
621344
711404
oct5600
94031
102944
112237
121854
131456
141104
15d14
hexb80

2944 has 16 divisors (see below), whose sum is σ = 6120. Its totient is φ = 1408.

The previous prime is 2939. The next prime is 2953. The reversal of 2944 is 4492.

It can be divided in two parts, 294 and 4, that multiplied together give a triangular number (1176 = T48).

2944 is nontrivially palindromic in base 5.

2944 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

2944 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 as a sum of consecutive naturals, namely, 117 + ... + 139.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060).

2944 is an abundant number, since it is smaller than the sum of its proper divisors (3176).

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

2944 is an equidigital number, since it uses as much as digits as its factorization.

2944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 25 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 2944 is about 54.2586398650. The cubic root of 2944 is about 14.3321914841.

The spelling of 2944 in words is "two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944