Search a number
-
+
1133241344 = 2101736397
BaseRepresentation
bin100001110001011…
…1110010000000000
32220222101121212122
41003202332100000
54310102210334
6304241143412
740040251424
oct10342762000
92828347778
101133241344
11531759aa4
1227762ab68
13150a1c111
14aa712b84
156975032e
hex438be400

1133241344 has 44 divisors (see below), whose sum is σ = 2278826844. Its totient is φ = 563257344.

The previous prime is 1133241341. The next prime is 1133241359. The reversal of 1133241344 is 4431423311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 444703744 + 688537600 = 21088^2 + 26240^2 .

It is not an unprimeable number, because it can be changed into a prime (1133241341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173954 + ... + 180350.

Almost surely, 21133241344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139413422).

1133241344 is an abundant number, since it is smaller than the sum of its proper divisors (1145585500).

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

1133241344 is an equidigital number, since it uses as much as digits as its factorization.

1133241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6572 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 1133241344 is about 33663.6501882966. The cubic root of 1133241344 is about 1042.5753923397.

Adding to 1133241344 its reverse (4431423311), we get a palindrome (5564664655).

The spelling of 1133241344 in words is "one billion, one hundred thirty-three million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1384 2768 5536 6397 11072 12794 22144 25588 44288 51176 88576 102352 177152 204704 409408 818816 1106681 1637632 2213362 3275264 4426724 6550528 8853448 17706896 35413792 70827584 141655168 283310336 566620672 1133241344