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4368 = 243713
BaseRepresentation
bin1000100010000
312222210
41010100
5114433
632120
715510
oct10420
95883
104368
113311
122640
131cb0
141840
151463
hex1110

4368 has 40 divisors (see below), whose sum is σ = 13888. Its totient is φ = 1152.

The previous prime is 4363. The next prime is 4373. The reversal of 4368 is 8634.

It can be divided in two parts, 436 and 8, that added together give a palindrome (444).

4368 is a nontrivial binomial coefficient, being equal to C(16, 5).

It is an interprime number because it is at equal distance from previous prime (4363) and next prime (4373).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 11 and base 16.

It is a zygodrome in base 5 and base 11.

It is not an unprimeable number, because it can be changed into a prime (4363) by changing a digit.

4368 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 (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 342.

24368 is an apocalyptic number.

4368 is a gapful number since it is divisible by the number (48) 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 4368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944).

4368 is an abundant number, since it is smaller than the sum of its proper divisors (9520).

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

4368 is a wasteful number, since it uses less digits than its factorization.

4368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 25 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4368 is about 66.0908465674. The cubic root of 4368 is about 16.3466040511.

The spelling of 4368 in words is "four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368