Search a number
-
+
1308 = 223109
BaseRepresentation
bin10100011100
31210110
4110130
520213
610020
73546
oct2434
91713
101308
11a8a
12910
13798
14696
155c3
hex51c

1308 has 12 divisors (see below), whose sum is σ = 3080. Its totient is φ = 432.

The previous prime is 1307. The next prime is 1319. The reversal of 1308 is 8031.

1308 is nontrivially palindromic in base 11 and base 14.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 109 = 1308 / (1 + 3 + 0 + 8).

It is an Ulam number.

1308 is an undulating number in base 11 and base 14.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1293 and 1302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301) 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 in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 66.

It is an amenable number.

1308 is an abundant number, since it is smaller than the sum of its proper divisors (1772).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540).

1308 is a wasteful number, since it uses less digits than its factorization.

1308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1308 is about 36.1662826401. The cubic root of 1308 is about 10.9362706101.

Subtracting from 1308 its sum of digits (12), we obtain a 4-th power (1296 = 64).

Adding to 1308 its reverse (8031), we get a palindrome (9339).

The spelling of 1308 in words is "one thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 109 218 327 436 654 1308