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314030144 = 2615731253
BaseRepresentation
bin10010101101111…
…011100001000000
3210212220101101002
4102231323201000
51120342431034
651054431132
710532132531
oct2255734100
9725811332
10314030144
1115129754a
12892024a8
13500a0b6c
142d9c6688
151c880e7e
hex12b7b840

314030144 has 28 divisors (see below), whose sum is σ = 627142764. Its totient is φ = 156009984.

The previous prime is 314030117. The next prime is 314030147. The reversal of 314030144 is 441030413.

It is a happy number.

314030144 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 141895744 + 172134400 = 11912^2 + 13120^2 .

It is a super-2 number, since 2×3140301442 = 197229862681321472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314030147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5579 + ... + 25674.

Almost surely, 2314030144 is an apocalyptic number.

It is an amenable number.

314030144 is a deficient number, since it is larger than the sum of its proper divisors (313112620).

314030144 is a wasteful number, since it uses less digits than its factorization.

314030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31422 (or 31412 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314030144 is about 17720.8956884239. The cubic root of 314030144 is about 679.7101879200.

Adding to 314030144 its reverse (441030413), we get a palindrome (755060557).

The spelling of 314030144 in words is "three hundred fourteen million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 157 314 628 1256 2512 5024 10048 31253 62506 125012 250024 500048 1000096 2000192 4906721 9813442 19626884 39253768 78507536 157015072 314030144