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2832374920 = 23570809373
BaseRepresentation
bin1010100011010010…
…1001110010001000
321022101121112221211
42220310221302020
521300041444140
61145015342504
7130121534554
oct25064516210
97271545854
102832374920
111223890221
12670681a34
13361a541bb
141cc250864
151189d22ea
hexa8d29c88

2832374920 has 16 divisors (see below), whose sum is σ = 6372843660. Its totient is φ = 1132949952.

The previous prime is 2832374891. The next prime is 2832374927. The reversal of 2832374920 is 294732382.

It can be written as a sum of positive squares in 2 ways, for example, as 2695063396 + 137311524 = 51914^2 + 11718^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 70809373 = 2832374920 / (2 + 8 + 3 + 2 + 3 + 7 + 4 + 9 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (2832374927) 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 3 ways as a sum of consecutive naturals, for example, 35404647 + ... + 35404726.

Almost surely, 22832374920 is an apocalyptic number.

2832374920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2832374920 is an abundant number, since it is smaller than the sum of its proper divisors (3540468740).

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

2832374920 is a wasteful number, since it uses less digits than its factorization.

2832374920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70809384 (or 70809380 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 2832374920 is about 53220.0612551320. The cubic root of 2832374920 is about 1414.8712223659.

The spelling of 2832374920 in words is "two billion, eight hundred thirty-two million, three hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 70809373 141618746 283237492 354046865 566474984 708093730 1416187460 2832374920