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243440064 = 26327173349
BaseRepresentation
bin11101000001010…
…01100111000000
3121222002000222200
432200221213000
5444310040224
640053433200
76014130540
oct1640514700
9558060880
10243440064
1111546313a
126963b800
133b58689a
142448d320
151658a5c9
hexe8299c0

243440064 has 168 divisors, whose sum is σ = 804367200. Its totient is φ = 68954112.

The previous prime is 243440063. The next prime is 243440069. The reversal of 243440064 is 460044342.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243440063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697362 + ... + 697710.

It is an arithmetic number, because the mean of its divisors is an integer number (4787900).

Almost surely, 2243440064 is an apocalyptic number.

243440064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402183600).

243440064 is an abundant number, since it is smaller than the sum of its proper divisors (560927136).

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

243440064 is a wasteful number, since it uses less digits than its factorization.

243440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

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

The square root of 243440064 is about 15602.5659428185. The cubic root of 243440064 is about 624.4016152266.

The spelling of 243440064 in words is "two hundred forty-three million, four hundred forty thousand, sixty-four".