Search a number
-
+
1324231380 = 2232560112241
BaseRepresentation
bin100111011101110…
…0010101011010100
310102021202220221200
41032323202223110
510203000401010
6335222512500
744546531613
oct11673425324
93367686850
101324231380
1161a5486aa
1230b595730
13181470384
14c7c2b87a
157b3c9cc0
hex4eee2ad4

1324231380 has 72 divisors (see below), whose sum is σ = 4023847464. Its totient is φ = 352512000.

The previous prime is 1324231357. The next prime is 1324231387. The reversal of 1324231380 is 831324231.

1324231380 is a `hidden beast` number, since 13 + 242 + 31 + 380 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 183548304 + 1140683076 = 13548^2 + 33774^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324231387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102060 + ... + 114300.

Almost surely, 21324231380 is an apocalyptic number.

1324231380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1324231380 is an abundant number, since it is smaller than the sum of its proper divisors (2699616084).

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

1324231380 is a wasteful number, since it uses less digits than its factorization.

1324231380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12857 (or 12852 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1324231380 is about 36389.9901071710. The cubic root of 1324231380 is about 1098.1321966505.

The spelling of 1324231380 in words is "one billion, three hundred twenty-four million, two hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 601 1202 1803 2404 3005 3606 5409 6010 7212 9015 10818 12020 12241 18030 21636 24482 27045 36060 36723 48964 54090 61205 73446 108180 110169 122410 146892 183615 220338 244820 367230 440676 550845 734460 1101690 2203380 7356841 14713682 22070523 29427364 36784205 44141046 66211569 73568410 88282092 110352615 132423138 147136820 220705230 264846276 331057845 441410460 662115690 1324231380