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230324441760 = 25335719400871
BaseRepresentation
bin1101011010000001101…
…0000001001010100000
3211000111201001221022000
43112200122001022200
512233201024114020
6253450512044000
722432440311130
oct3264032011240
9730451057260
10230324441760
1189753163116
123877b233600
131894798c13a
14b20d662ac0
155ed07d9090
hex35a06812a0

230324441760 has 384 divisors, whose sum is σ = 969789542400. Its totient is φ = 49874641920.

The previous prime is 230324441729. The next prime is 230324441761. The reversal of 230324441760 is 67144423032.

230324441760 is a `hidden beast` number, since 2 + 303 + 244 + 41 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230324441761) 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 63 ways as a sum of consecutive naturals, for example, 374125 + ... + 774995.

It is an arithmetic number, because the mean of its divisors is an integer number (2525493600).

Almost surely, 2230324441760 is an apocalyptic number.

230324441760 is a gapful number since it is divisible by the number (20) 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 230324441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484894771200).

230324441760 is an abundant number, since it is smaller than the sum of its proper divisors (739465100640).

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

230324441760 is a wasteful number, since it uses less digits than its factorization.

230324441760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400921 (or 400907 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 230324441760 its reverse (67144423032), we get a palindrome (297468864792).

The spelling of 230324441760 in words is "two hundred thirty billion, three hundred twenty-four million, four hundred forty-one thousand, seven hundred sixty".