Search a number
-
+
3002324064 = 2531929211269
BaseRepresentation
bin1011001011110011…
…1101010001100000
321202020101212100120
42302330331101200
522122043332224
61213530120240
7134254222245
oct26274752140
97666355316
103002324064
111300808563
126b9580080
1338b01931c
14206a4d5cc
151288a2779
hexb2f3d460

3002324064 has 192 divisors, whose sum is σ = 8654688000. Its totient is φ = 907683840.

The previous prime is 3002324051. The next prime is 3002324089. The reversal of 3002324064 is 4604232003.

It is a happy number.

3002324064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11160922 + ... + 11161190.

It is an arithmetic number, because the mean of its divisors is an integer number (45076500).

Almost surely, 23002324064 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 3002324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327344000).

3002324064 is an abundant number, since it is smaller than the sum of its proper divisors (5652363936).

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

3002324064 is a wasteful number, since it uses less digits than its factorization.

3002324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3002324064 is about 54793.4673478509. The cubic root of 3002324064 is about 1442.6219053212.

Adding to 3002324064 its reverse (4604232003), we get a palindrome (7606556067).

The spelling of 3002324064 in words is "three billion, two million, three hundred twenty-four thousand, sixty-four".