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2134000314 = 2321947132761
BaseRepresentation
bin111111100110010…
…0100001010111010
312111201111110002200
41333030210022322
513332301002224
6551431011030
7103611463155
oct17714441272
95451443080
102134000314
119a5651026
124b6809a76
132801638a4
141635bac9c
15c75315c9
hex7f3242ba

2134000314 has 48 divisors (see below), whose sum is σ = 4970609280. Its totient is φ = 659551680.

The previous prime is 2134000303. The next prime is 2134000339. The reversal of 2134000314 is 4130004312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50307 + ... + 82454.

It is an arithmetic number, because the mean of its divisors is an integer number (103554360).

Almost surely, 22134000314 is an apocalyptic number.

2134000314 is an abundant number, since it is smaller than the sum of its proper divisors (2836608966).

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

2134000314 is a wasteful number, since it uses less digits than its factorization.

2134000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132835 (or 132832 counting only the distinct ones).

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

The square root of 2134000314 is about 46195.2412484230. The cubic root of 2134000314 is about 1287.4533244021.

Adding to 2134000314 its reverse (4130004312), we get a palindrome (6264004626).

The spelling of 2134000314 in words is "two billion, one hundred thirty-four million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 8037 16074 132761 265522 398283 796566 1194849 2389698 2522459 5044918 6239767 7567377 12479534 15134754 18719301 22702131 37438602 45404262 56157903 112315806 118555573 237111146 355666719 711333438 1067000157 2134000314