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2813346920 = 235101696373
BaseRepresentation
bin1010011110110000…
…0100010001101000
321021001210211110002
42213230010101220
521230204100140
61143055442132
7126501024416
oct24754042150
97231724402
102813346920
1112140741aa
12666226348
1335ab21327
141c98da2b6
15116ec4415
hexa7b04468

2813346920 has 32 divisors (see below), whose sum is σ = 6392713320. Its totient is φ = 1114195200.

The previous prime is 2813346917. The next prime is 2813346931. The reversal of 2813346920 is 296433182.

It can be written as a sum of positive squares in 4 ways, for example, as 2804549764 + 8797156 = 52958^2 + 2966^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 344147 + ... + 352226.

Almost surely, 22813346920 is an apocalyptic number.

2813346920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813346920 is an abundant number, since it is smaller than the sum of its proper divisors (3579366400).

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

2813346920 is a wasteful number, since it uses less digits than its factorization.

2813346920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696485 (or 696481 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 2813346920 is about 53040.9928263037. The cubic root of 2813346920 is about 1411.6957148325.

The spelling of 2813346920 in words is "two billion, eight hundred thirteen million, three hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 696373 1392746 2785492 3481865 5570984 6963730 13927460 27854920 70333673 140667346 281334692 351668365 562669384 703336730 1406673460 2813346920