Search a number
-
+
314905000 = 235462981
BaseRepresentation
bin10010110001010…
…001000110101000
3210221112211110011
4102301101012220
51121103430000
651125301304
710542435244
oct2261210650
9727484404
10314905000
11151834873
1289564834
1350319127
142db73424
151c9a52ba
hex12c511a8

314905000 has 40 divisors (see below), whose sum is σ = 737834130. Its totient is φ = 125960000.

The previous prime is 314904979. The next prime is 314905001. The reversal of 314905000 is 509413.

It can be written as a sum of positive squares in 5 ways, for example, as 14853316 + 300051684 = 3854^2 + 17322^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (314905001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 26491 + ... + 36490.

Almost surely, 2314905000 is an apocalyptic number.

It is an amenable number.

314905000 is an abundant number, since it is smaller than the sum of its proper divisors (422929130).

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

314905000 is an equidigital number, since it uses as much as digits as its factorization.

314905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63007 (or 62988 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 314905000 is about 17745.5628256756. The cubic root of 314905000 is about 680.3408037919.

The spelling of 314905000 in words is "three hundred fourteen million, nine hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 62981 125962 251924 314905 503848 629810 1259620 1574525 2519240 3149050 6298100 7872625 12596200 15745250 31490500 39363125 62981000 78726250 157452500 314905000