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20343424000 = 21053179349
BaseRepresentation
bin10010111100100100…
…000000010000000000
31221111202202000102011
4102330210000100000
5313130404032000
613202354102304
71320062152024
oct227444002000
957452660364
1020343424000
11869a372609
123b38b7a994
131bc289a8c3
14dadb60384
157e0ea62ba
hex4bc900400

20343424000 has 176 divisors, whose sum is σ = 53743575600. Its totient is φ = 7657881600.

The previous prime is 20343423901. The next prime is 20343424009. The reversal of 20343424000 is 42434302.

It can be written as a sum of positive squares in 8 ways, for example, as 1268499456 + 19074924544 = 35616^2 + 138112^2 .

It is not an unprimeable number, because it can be changed into a prime (20343424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171326 + ... + 2180674.

It is an arithmetic number, because the mean of its divisors is an integer number (305361225).

Almost surely, 220343424000 is an apocalyptic number.

20343424000 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 20343424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871787800).

20343424000 is an abundant number, since it is smaller than the sum of its proper divisors (33400151600).

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

20343424000 is an equidigital number, since it uses as much as digits as its factorization.

20343424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401 (or 9373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 20343424000 its reverse (42434302), we get a palindrome (20385858302).

The spelling of 20343424000 in words is "twenty billion, three hundred forty-three million, four hundred twenty-four thousand".