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3844000000 = 2856312
BaseRepresentation
bin1110010100011110…
…1100100100000000
3100220220011102200101
43211013230210000
530333031000000
61433234132144
7164154314041
oct34507544400
910826142611
103844000000
1116a2924105
128b3421054
13493501819
142867468c8
1517770ce6a
hexe51ec900

3844000000 has 189 divisors, whose sum is σ = 9910478613. Its totient is φ = 1488000000.

The previous prime is 3843999923. The next prime is 3844000001. The reversal of 3844000000 is 4483.

The square root of 3844000000 is 62000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 3367713024 + 476286976 = 58032^2 + 21824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3844000001) 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 20 ways as a sum of consecutive naturals, for example, 123999985 + ... + 124000015.

Almost surely, 23844000000 is an apocalyptic number.

3844000000 is the 62000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3844000000

3844000000 is an abundant number, since it is smaller than the sum of its proper divisors (6066478613).

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

3844000000 is an frugal number, since it uses more digits than its factorization.

3844000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 3844000000 is about 1566.4905993979.

Adding to 3844000000 its reverse (4483), we get a palindrome (3844004483).

The spelling of 3844000000 in words is "three billion, eight hundred forty-four million", and thus it is an aban number.