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2997840384 = 293272111771
BaseRepresentation
bin1011001010101111…
…0110101000000000
321201220222001220100
42302223312220000
522114421343014
61213250042400
7134201136300
oct26253665000
97656861810
102997840384
1112a9225940
126b7b79400
1338a109566
14206203600
151282b9009
hexb2af6a00

2997840384 has 720 divisors, whose sum is σ = 11789084736. Its totient is φ = 722534400.

The previous prime is 2997840371. The next prime is 2997840389. The reversal of 2997840384 is 4830487992.

2997840384 is a `hidden beast` number, since 2 + 99 + 78 + 403 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2997840384.

It is not an unprimeable number, because it can be changed into a prime (2997840389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42223069 + ... + 42223139.

Almost surely, 22997840384 is an apocalyptic number.

2997840384 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 2997840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894542368).

2997840384 is an abundant number, since it is smaller than the sum of its proper divisors (8791244352).

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

2997840384 is a wasteful number, since it uses less digits than its factorization.

2997840384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2997840384 is about 54752.5376946128. The cubic root of 2997840384 is about 1441.9034088692.

The spelling of 2997840384 in words is "two billion, nine hundred ninety-seven million, eight hundred forty thousand, three hundred eighty-four".