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1324443132 = 2232233151599
BaseRepresentation
bin100111011110001…
…0110010111111100
310102022011200102100
41032330112113330
510203024140012
6335231225100
744551403145
oct11674262774
93368150370
101324443132
1161a682801
1230b678190
1318151587c
14c7c84acc
157b41c8dc
hex4ef165fc

1324443132 has 72 divisors (see below), whose sum is σ = 3606220800. Its totient is φ = 408656160.

The previous prime is 1324443119. The next prime is 1324443149. The reversal of 1324443132 is 2313444231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1324443096 and 1324443105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132 + ... + 51467.

It is an arithmetic number, because the mean of its divisors is an integer number (50086400).

Almost surely, 21324443132 is an apocalyptic number.

1324443132 is a gapful number since it is divisible by the number (12) 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 1324443132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803110400).

1324443132 is an abundant number, since it is smaller than the sum of its proper divisors (2281777668).

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

1324443132 is a wasteful number, since it uses less digits than its factorization.

1324443132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51663 (or 51658 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1324443132 is about 36392.8994722872. The cubic root of 1324443132 is about 1098.1907260231.

Adding to 1324443132 its reverse (2313444231), we get a palindrome (3637887363).

The spelling of 1324443132 in words is "one billion, three hundred twenty-four million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668 51599 103198 154797 206396 309594 464391 619188 928782 1186777 1599569 1857564 2373554 3199138 3560331 4747108 4798707 6398276 7120662 9597414 10680993 14241324 14396121 19194828 21361986 28792242 36790087 42723972 57584484 73580174 110370261 147160348 220740522 331110783 441481044 662221566 1324443132