Search a number
-
+
1344031344 = 243210390617
BaseRepresentation
bin101000000011100…
…0100101001110000
310110200000212101200
41100013010221300
510223033000334
6341211131200
745210035505
oct12007045160
93420025350
101344031344
1162a741707
12316143b00
131855b3726
14ca7034ac
157cedb799
hex501c4a70

1344031344 has 60 divisors (see below), whose sum is σ = 3797981616. Its totient is φ = 443655936.

The previous prime is 1344031343. The next prime is 1344031421. The reversal of 1344031344 is 4431304431.

1344031344 is a `hidden beast` number, since 1 + 344 + 0 + 313 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344031343) 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 11 ways as a sum of consecutive naturals, for example, 30477 + ... + 60140.

Almost surely, 21344031344 is an apocalyptic number.

It is an amenable number.

1344031344 is an abundant number, since it is smaller than the sum of its proper divisors (2453950272).

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

1344031344 is a wasteful number, since it uses less digits than its factorization.

1344031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90734 (or 90725 counting only the distinct ones).

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

The square root of 1344031344 is about 36661.0330460013. The cubic root of 1344031344 is about 1103.5782494262.

Adding to 1344031344 its reverse (4431304431), we get a palindrome (5775335775).

The spelling of 1344031344 in words is "one billion, three hundred forty-four million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4944 7416 14832 90617 181234 271851 362468 543702 724936 815553 1087404 1449872 1631106 2174808 3262212 4349616 6524424 9333551 13048848 18667102 28000653 37334204 56001306 74668408 84001959 112002612 149336816 168003918 224005224 336007836 448010448 672015672 1344031344