Search a number
-
+
3024234304 = 2671323107211
BaseRepresentation
bin1011010001000010…
…0010011101000000
321210202122000112221
42310100202131000
522143200444204
61220031500424
7134641365430
oct26420423500
97722560487
103024234304
111312112aa3
12704987714
1339271b070
142099142c0
1512a77e654
hexb4422740

3024234304 has 224 divisors, whose sum is σ = 7816144896. Its totient is φ = 1128314880.

The previous prime is 3024234299. The next prime is 3024234307. The reversal of 3024234304 is 4034324203.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024234307) 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 31 ways as a sum of consecutive naturals, for example, 14332759 + ... + 14332969.

It is an arithmetic number, because the mean of its divisors is an integer number (34893504).

Almost surely, 23024234304 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 3024234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908072448).

3024234304 is an abundant number, since it is smaller than the sum of its proper divisors (4791910592).

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

3024234304 is a wasteful number, since it uses less digits than its factorization.

3024234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3024234304 is about 54993.0386867283. The cubic root of 3024234304 is about 1446.1227058192.

Adding to 3024234304 its reverse (4034324203), we get a palindrome (7058558507).

It can be divided in two parts, 30242 and 34304, that added together give a palindrome (64546).

The spelling of 3024234304 in words is "three billion, twenty-four million, two hundred thirty-four thousand, three hundred four".