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241223030304 = 253411033131901
BaseRepresentation
bin1110000010101000000…
…0110101011000100000
3212001122020200121011120
43200222000311120200
512423011043432204
6302452154412240
723266505632554
oct3405200653040
9761566617146
10241223030304
1193336125a93
123a901131080
131999389a6b9
14b964c95864
15641c4e56d9
hex382a035620

241223030304 has 192 divisors, whose sum is σ = 657390359808. Its totient is φ = 77395968000.

The previous prime is 241223030287. The next prime is 241223030309. The reversal of 241223030304 is 403030322142.

241223030304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (241223030309) 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, 126891754 + ... + 126893654.

It is an arithmetic number, because the mean of its divisors is an integer number (3423908124).

Almost surely, 2241223030304 is an apocalyptic number.

241223030304 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 241223030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328695179904).

241223030304 is an abundant number, since it is smaller than the sum of its proper divisors (416167329504).

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

241223030304 is a wasteful number, since it uses less digits than its factorization.

241223030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 241223030304 its reverse (403030322142), we get a palindrome (644253352446).

The spelling of 241223030304 in words is "two hundred forty-one billion, two hundred twenty-three million, thirty thousand, three hundred four".