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2064243384 = 2332724759211
BaseRepresentation
bin111101100001001…
…1101101010111000
312022212020102120200
41323002131222320
513211421242014
6540455522200
7102103531200
oct17302355270
95285212520
102064243384
1196a236675
12497389360
1326b87b8b8
1415821d400
15c1352a09
hex7b09dab8

2064243384 has 288 divisors, whose sum is σ = 6786374400. Its totient is φ = 564762240.

The previous prime is 2064243383. The next prime is 2064243457. The reversal of 2064243384 is 4833424602.

2064243384 is a `hidden beast` number, since 2 + 0 + 642 + 4 + 3 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×20642433842 = 8522201496775542912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064243383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9783039 + ... + 9783249.

It is an arithmetic number, because the mean of its divisors is an integer number (23563800).

Almost surely, 22064243384 is an apocalyptic number.

2064243384 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 2064243384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393187200).

2064243384 is an abundant number, since it is smaller than the sum of its proper divisors (4722131016).

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

2064243384 is a wasteful number, since it uses less digits than its factorization.

2064243384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2064243384 is about 45433.9452832351. The cubic root of 2064243384 is about 1273.2693955329.

Adding to 2064243384 its reverse (4833424602), we get a palindrome (6897667986).

The spelling of 2064243384 in words is "two billion, sixty-four million, two hundred forty-three thousand, three hundred eighty-four".