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2843074080 = 253457211237
BaseRepresentation
bin1010100101110101…
…1101111000100000
321100010202010110000
42221131131320200
521310311332310
61150040540000
7130311505500
oct25135357040
97303663400
102843074080
111229928700
12674181600
1336402c072
141cd837a00
151198e74c0
hexa975de20

2843074080 has 1080 divisors, whose sum is σ = 13176111564. Its totient is φ = 574801920.

The previous prime is 2843074061. The next prime is 2843074097. The reversal of 2843074080 is 804703482.

2843074080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2773918224 + 69155856 = 52668^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 76839822 + ... + 76839858.

Almost surely, 22843074080 is an apocalyptic number.

2843074080 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 2843074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588055782).

2843074080 is an abundant number, since it is smaller than the sum of its proper divisors (10333037484).

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

2843074080 is a wasteful number, since it uses less digits than its factorization.

2843074080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2843074080 is about 53320.4846189530. The cubic root of 2843074080 is about 1416.6505198313.

The spelling of 2843074080 in words is "two billion, eight hundred forty-three million, seventy-four thousand, eighty".