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68384 = 252137
BaseRepresentation
bin10000101100100000
310110210202
4100230200
54142014
61244332
7403241
oct205440
9113722
1068384
1147418
12336a8
1325184
141acc8
15153de
hex10b20

68384 has 12 divisors (see below), whose sum is σ = 134694. Its totient is φ = 34176.

The previous prime is 68371. The next prime is 68389. The reversal of 68384 is 48386.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 784 = 260^2 + 28^2 .

It is not an unprimeable number, because it can be changed into a prime (68389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1037 + ... + 1100.

268384 is an apocalyptic number.

It is an amenable number.

68384 is a deficient number, since it is larger than the sum of its proper divisors (66310).

68384 is a wasteful number, since it uses less digits than its factorization.

68384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2139 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 68384 is about 261.5033460589. The cubic root of 68384 is about 40.8932380027.

It can be divided in two parts, 683 and 84, that added together give a palindrome (767).

The spelling of 68384 in words is "sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 2137 4274 8548 17096 34192 68384