Search a number
-
+
1311324 = 223767233
BaseRepresentation
bin101000000001001011100
32110121210120
411000021130
5313430244
644034540
714101050
oct5001134
92417716
101311324
11816243
12532a50
1336bb41
14261c60
151ad819
hex14025c

1311324 has 48 divisors (see below), whose sum is σ = 3564288. Its totient is φ = 367488.

The previous prime is 1311311. The next prime is 1311341. The reversal of 1311324 is 4231131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5512 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (74256).

21311324 is an apocalyptic number.

1311324 is a gapful number since it is divisible by the number (14) 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 1311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782144).

1311324 is an abundant number, since it is smaller than the sum of its proper divisors (2252964).

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

1311324 is a wasteful number, since it uses less digits than its factorization.

1311324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 1311324 is about 1145.1305602419. The cubic root of 1311324 is about 109.4552683162.

Adding to 1311324 its reverse (4231131), we get a palindrome (5542455).

The spelling of 1311324 in words is "one million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 233 268 402 466 469 699 804 932 938 1398 1407 1631 1876 2796 2814 3262 4893 5628 6524 9786 15611 19572 31222 46833 62444 93666 109277 187332 218554 327831 437108 655662 1311324