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2842236320 = 255711281821
BaseRepresentation
bin1010100101101001…
…0001010110100000
321100002011120020212
42221122101112200
521310103030240
61150010553252
7130301416160
oct25132212640
97302146225
102842236320
111229406240
12673a38828
13363ac7951
141cd69a5a0
151197ce165
hexa96915a0

2842236320 has 192 divisors, whose sum is σ = 8411703552. Its totient is φ = 881664000.

The previous prime is 2842236301. The next prime is 2842236329. The reversal of 2842236320 is 236322482.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2842236329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3461510 + ... + 3462330.

It is an arithmetic number, because the mean of its divisors is an integer number (43810956).

Almost surely, 22842236320 is an apocalyptic number.

2842236320 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 2842236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205851776).

2842236320 is an abundant number, since it is smaller than the sum of its proper divisors (5569467232).

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

2842236320 is a wasteful number, since it uses less digits than its factorization.

2842236320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2842236320 is about 53312.6281475599. The cubic root of 2842236320 is about 1416.5113594605.

The spelling of 2842236320 in words is "two billion, eight hundred forty-two million, two hundred thirty-six thousand, three hundred twenty".