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1314340314 = 237194094027
BaseRepresentation
bin100111001010111…
…0011110111011010
310101121011101221220
41032111303313122
510142432342224
6334230512510
744366464650
oct11625636732
93347141856
101314340314
11614a02371
12308205736
1317c3b9281
14c67b4dd0
157a5c4279
hex4e573dda

1314340314 has 64 divisors (see below), whose sum is σ = 3170841600. Its totient is φ = 354803328.

The previous prime is 1314340283. The next prime is 1314340331. The reversal of 1314340314 is 4130434131.

It is a super-2 number, since 2×13143403142 = 3454980922011237192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324369 + ... + 328395.

It is an arithmetic number, because the mean of its divisors is an integer number (49544400).

Almost surely, 21314340314 is an apocalyptic number.

1314340314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314340314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585420800).

1314340314 is an abundant number, since it is smaller than the sum of its proper divisors (1856501286).

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

1314340314 is a wasteful number, since it uses less digits than its factorization.

1314340314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1314340314 is about 36253.8317147305. The cubic root of 1314340314 is about 1095.3912723605.

Adding to 1314340314 its reverse (4130434131), we get a palindrome (5444774445).

The spelling of 1314340314 in words is "one billion, three hundred fourteen million, three hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 409 798 818 1227 2454 2863 4027 5726 7771 8054 8589 12081 15542 17178 23313 24162 28189 46626 54397 56378 76513 84567 108794 153026 163191 169134 229539 326382 459078 535591 1071182 1606773 1647043 3213546 3294086 4941129 9882258 11529301 23058602 31293817 34587903 62587634 69175806 93881451 187762902 219056719 438113438 657170157 1314340314