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314011242 = 23414913009
BaseRepresentation
bin10010101101110…
…110111001101010
3210212212102110000
4102231312321222
51120341324432
651054203430
710532023446
oct2255667152
9725772400
10314011242
11151284326
12891b3576
135009538c
142d9bd826
151c87a57c
hex12b76e6a

314011242 has 40 divisors (see below), whose sum is σ = 708394500. Its totient is φ = 103959936.

The previous prime is 314011237. The next prime is 314011253. The reversal of 314011242 is 242110413.

314011242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 270964521 + 43046721 = 16461^2 + 6561^2 .

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 19 ways as a sum of consecutive naturals, for example, 17634 + ... + 30642.

Almost surely, 2314011242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314011242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354197250).

314011242 is an abundant number, since it is smaller than the sum of its proper divisors (394383258).

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

314011242 is a wasteful number, since it uses less digits than its factorization.

314011242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13172 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314011242 is about 17720.3623552116. The cubic root of 314011242 is about 679.6965500151.

Adding to 314011242 its reverse (242110413), we get a palindrome (556121655).

The spelling of 314011242 in words is "three hundred fourteen million, eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 2682 4023 8046 12069 13009 24138 26018 39027 78054 117081 234162 351243 702486 1053729 1938341 2107458 3876682 5815023 11630046 17445069 34890138 52335207 104670414 157005621 314011242