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234488820384 = 253271344919927
BaseRepresentation
bin1101101001100010011…
…1110111001010100000
3211102020221002021211100
43122120213313022200
512320213114223014
6255420033114400
722640565041520
oct3323047671240
9742227067740
10234488820384
119049a90a445
12395419b8a00
131915c6752c0
14b4c6765680
1561761ce009
hex36989f72a0

234488820384 has 288 divisors, whose sum is σ = 822580012800. Its totient is φ = 61702373376.

The previous prime is 234488820353. The next prime is 234488820437. The reversal of 234488820384 is 483028884432.

234488820384 is a `hidden beast` number, since 2 + 3 + 4 + 488 + 82 + 0 + 3 + 84 = 666.

234488820384 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 tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 234488820384.

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 47 ways as a sum of consecutive naturals, for example, 11757429 + ... + 11777355.

It is an arithmetic number, because the mean of its divisors is an integer number (2856180600).

Almost surely, 2234488820384 is an apocalyptic number.

234488820384 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 234488820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411290006400).

234488820384 is an abundant number, since it is smaller than the sum of its proper divisors (588091192416).

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

234488820384 is a wasteful number, since it uses less digits than its factorization.

234488820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20412 (or 20401 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 234488820384 in words is "two hundred thirty-four billion, four hundred eighty-eight million, eight hundred twenty thousand, three hundred eighty-four".