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244323020340 = 223257794016121
BaseRepresentation
bin1110001110001011001…
…0010110111000110100
3212100122021212102001100
43203202302112320310
513000333143122330
6304123534130100
723436360256440
oct3434262267064
9770567772040
10244323020340
1194686a80423
123b427350930
131a068bc1029
14bb7a889820
15654e73b060
hex38e2c96e34

244323020340 has 288 divisors, whose sum is σ = 859987215360. Its totient is φ = 54991872000.

The previous prime is 244323020317. The next prime is 244323020353. The reversal of 244323020340 is 43020323442.

244323020340 is a `hidden beast` number, since 24 + 432 + 3 + 0 + 203 + 4 + 0 = 666.

244323020340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39912480 + ... + 39918600.

It is an arithmetic number, because the mean of its divisors is an integer number (2986066720).

Almost surely, 2244323020340 is an apocalyptic number.

244323020340 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 244323020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429993607680).

244323020340 is an abundant number, since it is smaller than the sum of its proper divisors (615664195020).

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

244323020340 is a wasteful number, since it uses less digits than its factorization.

244323020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 244323020340 its reverse (43020323442), we get a palindrome (287343343782).

The spelling of 244323020340 in words is "two hundred forty-four billion, three hundred twenty-three million, twenty thousand, three hundred forty".