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3000441344 = 2918132377
BaseRepresentation
bin1011001011010111…
…0001101000000000
321202002212012202012
42302311301220000
522121103110334
61213421512052
7134232221255
oct26265615000
97662765665
103000441344
1112aa741a9a
126b8a12628
1338a80a3a4
142066bd42c
1512862e9ce
hexb2d71a00

3000441344 has 40 divisors (see below), whose sum is σ = 6028330308. Its totient is φ = 1491886080.

The previous prime is 3000441341. The next prime is 3000441383. The reversal of 3000441344 is 4431440003.

It can be written as a sum of positive squares in 2 ways, for example, as 2796294400 + 204146944 = 52880^2 + 14288^2 .

It is not an unprimeable number, because it can be changed into a prime (3000441341) 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 3 ways as a sum of consecutive naturals, for example, 76484 + ... + 108860.

Almost surely, 23000441344 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 3000441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014165154).

3000441344 is an abundant number, since it is smaller than the sum of its proper divisors (3027888964).

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

3000441344 is an equidigital number, since it uses as much as digits as its factorization.

3000441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32576 (or 32560 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3000441344 is about 54776.2845034236. The cubic root of 3000441344 is about 1442.3202921944.

Adding to 3000441344 its reverse (4431440003), we get a palindrome (7431881347).

The spelling of 3000441344 in words is "three billion, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 512 724 1448 2896 5792 11584 23168 32377 46336 64754 92672 129508 259016 518032 1036064 2072128 4144256 5860237 8288512 11720474 16577024 23440948 46881896 93763792 187527584 375055168 750110336 1500220672 3000441344