Search a number
-
+
314021000 = 2353314021
BaseRepresentation
bin10010101101111…
…001010010001000
3210212212220211102
4102231321102020
51120342133000
651054320532
710532064056
oct2255712210
9725786742
10314021000
11151290697
12891b9148
1350099957
142d9c31d6
151c87d3d5
hex12b79488

314021000 has 32 divisors (see below), whose sum is σ = 734811480. Its totient is φ = 125608000.

The previous prime is 314020969. The next prime is 314021023. The reversal of 314021000 is 120413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 83649316 + 230371684 = 9146^2 + 15178^2 .

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, 156011 + ... + 158010.

Almost surely, 2314021000 is an apocalyptic number.

It is an amenable number.

314021000 is an abundant number, since it is smaller than the sum of its proper divisors (420790480).

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

314021000 is a wasteful number, since it uses less digits than its factorization.

314021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314042 (or 314028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 314021000 is about 17720.6376860428. The cubic root of 314021000 is about 679.7035905382.

Adding to 314021000 its reverse (120413), we get a palindrome (314141413).

The spelling of 314021000 in words is "three hundred fourteen million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 314021 628042 1256084 1570105 2512168 3140210 6280420 7850525 12560840 15701050 31402100 39252625 62804200 78505250 157010500 314021000