Search a number
-
+
1368341568 = 263211229677
BaseRepresentation
bin101000110001111…
…0011110001000000
310112100202221202100
41101203303301000
510300243412233
6343440150400
745623466006
oct12143636100
93470687670
101368341568
11642436300
12322308400
1318a645989
14cda30a76
15801de813
hex518f3c40

1368341568 has 252 divisors, whose sum is σ = 4466318220. Its totient is φ = 399759360.

The previous prime is 1368341567. The next prime is 1368341591. The reversal of 1368341568 is 8651438631.

1368341568 is a `hidden beast` number, since 1 + 3 + 6 + 83 + 4 + 1 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1141899264 + 226442304 = 33792^2 + 15048^2 .

It is not an unprimeable number, because it can be changed into a prime (1368341567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2020846 + ... + 2021522.

It is an arithmetic number, because the mean of its divisors is an integer number (17723485).

Almost surely, 21368341568 is an apocalyptic number.

1368341568 is a gapful number since it is divisible by the number (18) 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 1368341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233159110).

1368341568 is an abundant number, since it is smaller than the sum of its proper divisors (3097976652).

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

1368341568 is a wasteful number, since it uses less digits than its factorization.

1368341568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 722 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1368341568 is about 36991.1012001535. The cubic root of 1368341568 is about 1110.1922043596.

The spelling of 1368341568 in words is "one billion, three hundred sixty-eight million, three hundred forty-one thousand, five hundred sixty-eight".