Search a number
-
+
2363368068 = 223265649113
BaseRepresentation
bin1000110011011110…
…0010001010000100
320002201002112111200
42030313202022010
514320010234233
61030303102500
7112365203625
oct21467421204
96081075450
102363368068
111003072456
1255b5a1a30
132b8831159
14185c45a4c
15dc73c313
hex8cde2284

2363368068 has 18 divisors (see below), whose sum is σ = 5974069374. Its totient is φ = 787789344.

The previous prime is 2363368061. The next prime is 2363368087. The reversal of 2363368068 is 8608633632.

2363368068 is a `hidden beast` number, since 2 + 3 + 633 + 6 + 8 + 0 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1670520384 + 692847684 = 40872^2 + 26322^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2363368061) 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 5 ways as a sum of consecutive naturals, for example, 32824521 + ... + 32824592.

It is an arithmetic number, because the mean of its divisors is an integer number (331892743).

Almost surely, 22363368068 is an apocalyptic number.

It is an amenable number.

2363368068 is an abundant number, since it is smaller than the sum of its proper divisors (3610701306).

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

2363368068 is a wasteful number, since it uses less digits than its factorization.

2363368068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65649123 (or 65649118 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2363368068 is about 48614.4841379604. The cubic root of 2363368068 is about 1332.0191066707.

The spelling of 2363368068 in words is "two billion, three hundred sixty-three million, three hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 65649113 131298226 196947339 262596452 393894678 590842017 787789356 1181684034 2363368068