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2384938080 = 25365723127
BaseRepresentation
bin1000111000100111…
…0100010001100000
320011012200102000000
42032021310101200
514341021004310
61032353300000
7113046432150
oct21611642140
96135612000
102384938080
111014265308
12566864600
132c0144085
14188a5c760
15de59d4c0
hex8e274460

2384938080 has 672 divisors, whose sum is σ = 10153672704. Its totient is φ = 517321728.

The previous prime is 2384938079. The next prime is 2384938093. The reversal of 2384938080 is 808394832.

2384938080 is a `hidden beast` number, since 2 + 3 + 8 + 493 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18778977 + ... + 18779103.

It is an arithmetic number, because the mean of its divisors is an integer number (15109632).

Almost surely, 22384938080 is an apocalyptic number.

2384938080 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 2384938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076836352).

2384938080 is an abundant number, since it is smaller than the sum of its proper divisors (7768734624).

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

2384938080 is a wasteful number, since it uses less digits than its factorization.

2384938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2384938080 is about 48835.8278316238. The cubic root of 2384938080 is about 1336.0592023199.

The spelling of 2384938080 in words is "two billion, three hundred eighty-four million, nine hundred thirty-eight thousand, eighty".