Search a number
1314 = 23273
BaseRepresentation
bin10100100010
31210200
4110202
520224
610030
73555
oct2442
91720
101314
11a95
12916
137a1
1469c
155c9
hex522

1314 has 12 divisors (see below), whose sum is σ = 2886. Its totient is φ = 432.

The previous prime is 1307. The next prime is 1319. The reversal of 1314 is 4131.

Adding to 1314 its product of digits (12), we get a triangular number (1326 = T51).

Adding to 1314 its reverse (4131), we get a palindrome (5445).

It can be divided in two parts, 13 and 14, that added together give a cube (27 = 33).

1314 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 1089 + 225 = 33^2 + 15^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 11 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1296 and 1305.

It is not an unprimeable number, because it can be changed into a prime (1319) by changing a digit.

1314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19 + ... + 54.

1314 is an abundant number, since it is smaller than the sum of its proper divisors (1572).

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

1314 is a wasteful number, since it uses less digits than its factorization.

1314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 78 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 1314 is about 36.2491379208. The cubic root of 1314 is about 10.9529672324.

The spelling of 1314 in words is "one thousand, three hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314