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2034400311 = 32474809457
BaseRepresentation
bin111100101000010…
…0111110000110111
312020210002020120200
41321100213300313
513131301302221
6533512131543
7101262055146
oct17120476067
95223066520
102034400311
11954403079
12489396bb3
13265630188
1415429175d
15bd90a426
hex79427c37

2034400311 has 12 divisors (see below), whose sum is σ = 3001101792. Its totient is φ = 1327409856.

The previous prime is 2034400253. The next prime is 2034400321. The reversal of 2034400311 is 1130044302.

It is not a de Polignac number, because 2034400311 - 213 = 2034392119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034400321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2404306 + ... + 2405151.

It is an arithmetic number, because the mean of its divisors is an integer number (250091816).

Almost surely, 22034400311 is an apocalyptic number.

2034400311 is a deficient number, since it is larger than the sum of its proper divisors (966701481).

2034400311 is a wasteful number, since it uses less digits than its factorization.

2034400311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809510 (or 4809507 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2034400311 is about 45104.3269653810. The cubic root of 2034400311 is about 1267.1036380724.

Adding to 2034400311 its reverse (1130044302), we get a palindrome (3164444613).

The spelling of 2034400311 in words is "two billion, thirty-four million, four hundred thousand, three hundred eleven".

Divisors: 1 3 9 47 141 423 4809457 14428371 43285113 226044479 678133437 2034400311