Search a number
-
+
314020144 = 24191032961
BaseRepresentation
bin10010101101111…
…001000100110000
3210212212212122201
4102231321010300
51120342121034
651054312544
710532061424
oct2255710460
9725785581
10314020144
1115128aa89
12891b8754
1350099449
142d9c2b84
151c87d014
hex12b79130

314020144 has 20 divisors (see below), whose sum is σ = 640436440. Its totient is φ = 148746240.

The previous prime is 314020139. The next prime is 314020151. The reversal of 314020144 is 441020413.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 3 ways as a sum of consecutive naturals, for example, 516177 + ... + 516784.

It is an arithmetic number, because the mean of its divisors is an integer number (32021822).

Almost surely, 2314020144 is an apocalyptic number.

It is an amenable number.

314020144 is an abundant number, since it is smaller than the sum of its proper divisors (326416296).

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

314020144 is a wasteful number, since it uses less digits than its factorization.

314020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032988 (or 1032982 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 314020144 is about 17720.6135333966. The cubic root of 314020144 is about 679.7029729290.

Adding to 314020144 its reverse (441020413), we get a palindrome (755040557).

The spelling of 314020144 in words is "three hundred fourteen million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 1032961 2065922 4131844 8263688 16527376 19626259 39252518 78505036 157010072 314020144