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3024073764 = 2235172373109
BaseRepresentation
bin1011010000111111…
…1011010000100100
321210202022212100000
42310033323100210
522143130330024
61220024221300
7134640126405
oct26417732044
97722285300
103024073764
111312013418
1270490a830
13392692c7a
142098b19ac
1512a74bcc9
hexb43fb424

3024073764 has 288 divisors, whose sum is σ = 8959991040. Its totient is φ = 886837248.

The previous prime is 3024073757. The next prime is 3024073769. The reversal of 3024073764 is 4673704203.

It is a happy number.

3024073764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30240737642 = 18290044260226255392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024073769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27743742 + ... + 27743850.

It is an arithmetic number, because the mean of its divisors is an integer number (31111080).

Almost surely, 23024073764 is an apocalyptic number.

3024073764 is a gapful number since it is divisible by the number (34) 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 3024073764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479995520).

3024073764 is an abundant number, since it is smaller than the sum of its proper divisors (5935917276).

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

3024073764 is a wasteful number, since it uses less digits than its factorization.

3024073764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3024073764 is about 54991.5790280657. The cubic root of 3024073764 is about 1446.0971164607.

Adding to 3024073764 its reverse (4673704203), we get a palindrome (7697777967).

The spelling of 3024073764 in words is "three billion, twenty-four million, seventy-three thousand, seven hundred sixty-four".