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314022024 = 233210940013
BaseRepresentation
bin10010101101111…
…001100010001000
3210212212222020100
4102231321202020
51120342201044
651054325400
710532100051
oct2255714210
9725788210
10314022024
11151291438
12891b9860
135009a264
142d9c3728
151c87d869
hex12b79888

314022024 has 48 divisors (see below), whose sum is σ = 858300300. Its totient is φ = 103711104.

The previous prime is 314021999. The next prime is 314022043. The reversal of 314022024 is 420220413.

It can be written as a sum of positive squares in 2 ways, for example, as 312653124 + 1368900 = 17682^2 + 1170^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 314021988 and 314022006.

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 11 ways as a sum of consecutive naturals, for example, 12159 + ... + 27854.

Almost surely, 2314022024 is an apocalyptic number.

It is an amenable number.

314022024 is an abundant number, since it is smaller than the sum of its proper divisors (544278276).

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

314022024 is a wasteful number, since it uses less digits than its factorization.

314022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40134 (or 40127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 314022024 is about 17720.6665788847. Note that the first 3 decimals coincide. The cubic root of 314022024 is about 679.7043293590.

Adding to 314022024 its reverse (420220413), we get a palindrome (734242437).

The spelling of 314022024 in words is "three hundred fourteen million, twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 40013 80026 120039 160052 240078 320104 360117 480156 720234 960312 1440468 2880936 4361417 8722834 13084251 17445668 26168502 34891336 39252753 52337004 78505506 104674008 157011012 314022024