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314893280 = 25513151391
BaseRepresentation
bin10010110001001…
…110001111100000
3210221112020101002
4102301032033200
51121103041110
651125131132
710542356132
oct2261161740
9727466332
10314893280
11151826a89
1289559aa8
13503139b0
142db6d052
151c9a1aa5
hex12c4e3e0

314893280 has 48 divisors (see below), whose sum is σ = 801166464. Its totient is φ = 116267520.

The previous prime is 314893247. The next prime is 314893301. The reversal of 314893280 is 82398413.

314893280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 73616 + ... + 77775.

It is an arithmetic number, because the mean of its divisors is an integer number (16690968).

Almost surely, 2314893280 is an apocalyptic number.

It is an amenable number.

314893280 is an abundant number, since it is smaller than the sum of its proper divisors (486273184).

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

314893280 is a wasteful number, since it uses less digits than its factorization.

314893280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151419 (or 151411 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 314893280 is about 17745.2325992082. The cubic root of 314893280 is about 680.3323634759.

The spelling of 314893280 in words is "three hundred fourteen million, eight hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 151391 302782 605564 756955 1211128 1513910 1968083 2422256 3027820 3936166 4844512 6055640 7872332 9840415 12111280 15744664 19680830 24222560 31489328 39361660 62978656 78723320 157446640 314893280