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288 = 2532
BaseRepresentation
bin100100000
3101200
410200
52123
61200
7561
oct440
9350
10288
11242
12200
13192
14168
15143
hex120

288 has 18 divisors (see below), whose sum is σ = 819. Its totient is φ = 96.

The previous prime is 283. The next prime is 293. The reversal of 288 is 882.

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.

It is a Jordan-Polya number, since it can be written as 4! ⋅ 3! ⋅ 2!.

288 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 172-1.

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

It is an interprime number because it is at equal distance from previous prime (283) and next prime (293).

It can be written as a sum of positive squares in only one way, i.e., 144 + 144 = 12^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12.

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.

288 is an undulating number in base 11.

Its product of digits (128) is a multiple of the sum of its prime factors (16).

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 8 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 288.

It is not an unprimeable number, because it can be changed into a prime (281) by changing a digit.

288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 95 + 96 + 97.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288

288 is an abundant number, since it is smaller than the sum of its proper divisors (531).

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

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

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

The sum of its prime factors is 16 (or 5 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 288 is about 16.9705627485. The cubic root of 288 is about 6.6038544978.

The spelling of 288 in words is "two hundred eighty-eight", and is thus an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288