Search a number
-
+
319187349 = 32132728097
BaseRepresentation
bin10011000001100…
…110100110010101
3211020121101201200
4103001212212111
51123202443344
651401143113
710624022235
oct2301464625
9736541650
10319187349
1115419a1a8
128aa8aa99
1351188370
1430569cc5
151d04e069
hex13066995

319187349 has 12 divisors (see below), whose sum is σ = 496513836. Its totient is φ = 196422912.

The previous prime is 319187347. The next prime is 319187381. The reversal of 319187349 is 943781913.

It can be written as a sum of positive squares in 2 ways, for example, as 15800625 + 303386724 = 3975^2 + 17418^2 .

It is not a de Polignac number, because 319187349 - 21 = 319187347 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319187347) 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 11 ways as a sum of consecutive naturals, for example, 1363932 + ... + 1364165.

It is an arithmetic number, because the mean of its divisors is an integer number (41376153).

Almost surely, 2319187349 is an apocalyptic number.

319187349 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

319187349 is a deficient number, since it is larger than the sum of its proper divisors (177326487).

319187349 is a wasteful number, since it uses less digits than its factorization.

319187349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728116 (or 2728113 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 319187349 is about 17865.8150947557. The cubic root of 319187349 is about 683.4108821501.

The spelling of 319187349 in words is "three hundred nineteen million, one hundred eighty-seven thousand, three hundred forty-nine".

Divisors: 1 3 9 13 39 117 2728097 8184291 24552873 35465261 106395783 319187349