Search a number
-
+
314014005 = 325371131669
BaseRepresentation
bin10010101101110…
…111100100110101
3210212212120020100
4102231313210311
51120341422010
651054224313
710532034504
oct2255674465
9725776210
10314014005
11151286408
12891b5099
1350096706
142d9c083b
151c87b2c0
hex12b77935

314014005 has 48 divisors (see below), whose sum is σ = 564286320. Its totient is φ = 161409024.

The previous prime is 314013971. The next prime is 314014033. The reversal of 314014005 is 500410413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7273809 + 306740196 = 2697^2 + 17514^2 .

It is not a de Polignac number, because 314014005 - 29 = 314013493 is a prime.

It is a super-2 number, since 2×3140140052 = 197209590672280050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187311 + ... + 188979.

It is an arithmetic number, because the mean of its divisors is an integer number (11755965).

Almost surely, 2314014005 is an apocalyptic number.

It is an amenable number.

314014005 is a deficient number, since it is larger than the sum of its proper divisors (250272315).

314014005 is a wasteful number, since it uses less digits than its factorization.

314014005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 314014005 is about 17720.4403161998. The cubic root of 314014005 is about 679.6985435701.

Adding to 314014005 its reverse (500410413), we get a palindrome (814424418).

The spelling of 314014005 in words is "three hundred fourteen million, fourteen thousand, five".

Divisors: 1 3 5 9 15 37 45 111 113 185 333 339 555 565 1017 1665 1669 1695 4181 5007 5085 8345 12543 15021 20905 25035 37629 61753 62715 75105 185259 188145 188597 308765 555777 565791 926295 942985 1697373 2778885 2828955 6978089 8486865 20934267 34890445 62802801 104671335 314014005