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2730444288 = 293111331401
BaseRepresentation
bin1010001010111111…
…0100011000000000
321001021210221102020
42202233310120000
521042443204123
61130534521440
7124443251655
oct24257643000
97037727366
102730444288
1111812a0230
12642506280
133468b5a10
141bc8b9c2c
1510ea9a7e3
hexa2bf4600

2730444288 has 320 divisors, whose sum is σ = 8843433984. Its totient is φ = 737280000.

The previous prime is 2730444281. The next prime is 2730444289. The reversal of 2730444288 is 8824440372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730444281) 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 31 ways as a sum of consecutive naturals, for example, 6808888 + ... + 6809288.

Almost surely, 22730444288 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 2730444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421716992).

2730444288 is an abundant number, since it is smaller than the sum of its proper divisors (6112989696).

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

2730444288 is a wasteful number, since it uses less digits than its factorization.

2730444288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 2730444288 is about 52253.6533459623. The cubic root of 2730444288 is about 1397.6908000365.

The spelling of 2730444288 in words is "two billion, seven hundred thirty million, four hundred forty-four thousand, two hundred eighty-eight".