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3006422244 = 22367253397
BaseRepresentation
bin1011001100110010…
…0101110011100100
321202112010002000000
42303030211303210
522124121002434
61214154021300
7134334111300
oct26314456344
97675102000
103006422244
111303057591
126baa17830
1338bb22797
142073d8d00
15128e11b99
hexb3325ce4

3006422244 has 252 divisors, whose sum is σ = 9372811644. Its totient is φ = 840647808.

The previous prime is 3006422233. The next prime is 3006422249. The reversal of 3006422244 is 4422246003.

3006422244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2091964644 + 914457600 = 45738^2 + 30240^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006422249) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7572654 + ... + 7573050.

It is an arithmetic number, because the mean of its divisors is an integer number (37193697).

Almost surely, 23006422244 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 3006422244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686405822).

3006422244 is an abundant number, since it is smaller than the sum of its proper divisors (6366389400).

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

3006422244 is a wasteful number, since it uses less digits than its factorization.

3006422244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3006422244 is about 54830.8512062324. The cubic root of 3006422244 is about 1443.2780010802.

Adding to 3006422244 its reverse (4422246003), we get a palindrome (7428668247).

The spelling of 3006422244 in words is "three billion, six million, four hundred twenty-two thousand, two hundred forty-four".