Search a number
-
+
2999394864 = 24321747131199
BaseRepresentation
bin1011001011000111…
…0010001000110000
321202000220001020200
42302301302020300
522120321113424
61213343235200
7134220302304
oct26261621060
97660801220
102999394864
1112aa097834
126b85a8b00
1338a531c7b
142064c9d04
151284c48c9
hexb2c72230

2999394864 has 240 divisors, whose sum is σ = 9192268800. Its totient is φ = 909342720.

The previous prime is 2999394851. The next prime is 2999394869. The reversal of 2999394864 is 4684939992.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2999394869) 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 47 ways as a sum of consecutive naturals, for example, 15072237 + ... + 15072435.

It is an arithmetic number, because the mean of its divisors is an integer number (38301120).

Almost surely, 22999394864 is an apocalyptic number.

2999394864 is a gapful number since it is divisible by the number (24) 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 2999394864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

2999394864 is an abundant number, since it is smaller than the sum of its proper divisors (6192873936).

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

2999394864 is a wasteful number, since it uses less digits than its factorization.

2999394864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The square root of 2999394864 is about 54766.7313612927. The cubic root of 2999394864 is about 1442.1525907714.

The spelling of 2999394864 in words is "two billion, nine hundred ninety-nine million, three hundred ninety-four thousand, eight hundred sixty-four".