Search a number
-
+
314144214 = 23194167211
BaseRepresentation
bin10010101110010…
…111010111010110
3210220010011211220
4102232113113112
51120410103324
651101111210
710533116226
oct2256272726
9726104756
10314144214
1115136521a
1289258506
1350110a67
142da16086
151c8a4b79
hex12b975d6

314144214 has 32 divisors (see below), whose sum is σ = 677496960. Its totient is φ = 96782400.

The previous prime is 314144209. The next prime is 314144219. The reversal of 314144214 is 412441413.

314144214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314144209) and next prime (314144219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314144219) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28932 + ... + 38279.

It is an arithmetic number, because the mean of its divisors is an integer number (21171780).

Almost surely, 2314144214 is an apocalyptic number.

314144214 is an abundant number, since it is smaller than the sum of its proper divisors (363352746).

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

314144214 is a wasteful number, since it uses less digits than its factorization.

314144214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67276.

The product of its digits is 1536, while the sum is 24.

The square root of 314144214 is about 17724.1139129718. The cubic root of 314144214 is about 679.7924784861.

Adding to 314144214 its reverse (412441413), we get a palindrome (726585627).

The spelling of 314144214 in words is "three hundred fourteen million, one hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 19 38 41 57 82 114 123 246 779 1558 2337 4674 67211 134422 201633 403266 1277009 2554018 2755651 3831027 5511302 7662054 8266953 16533906 52357369 104714738 157072107 314144214