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17444 = 227289
BaseRepresentation
bin100010000100100
3212221002
410100210
51024234
6212432
7101600
oct42044
925832
1017444
1112119
12a118
137c2b
146500
15527e
hex4424

17444 has 18 divisors (see below), whose sum is σ = 35910. Its totient is φ = 7392.

The previous prime is 17443. The next prime is 17449. The reversal of 17444 is 44471.

Subtracting from 17444 its sum of digits (20), we obtain a square (17424 = 1322).

17444 = T62 + T63 + ... + T69.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 4900 = 112^2 + 70^2 .

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (17443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

217444 is an apocalyptic number.

17444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955).

17444 is an abundant number, since it is smaller than the sum of its proper divisors (18466).

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

17444 is a wasteful number, since it uses less digits than its factorization.

17444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its digits is 448, while the sum is 20.

The square root of 17444 is about 132.0757358488. The cubic root of 17444 is about 25.9347476152.

The spelling of 17444 in words is "seventeen thousand, four hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 2492 4361 8722 17444