Search a number
-
+
319224084 = 223233113719
BaseRepresentation
bin10011000001101…
…111100100010100
3211020200021010020
4103001233210110
51123210132314
651402025140
710624234314
oct2301574424
9736607106
10319224084
11154214863
128aaa81b0
135119bcba
1430579444
151d059da9
hex1306f914

319224084 has 48 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 101427040.

The previous prime is 319224067. The next prime is 319224137. The reversal of 319224084 is 480422913.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 83977 + ... + 87695.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2319224084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319224084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

319224084 is an abundant number, since it is smaller than the sum of its proper divisors (460725996).

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

319224084 is a wasteful number, since it uses less digits than its factorization.

319224084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 319224084 is about 17866.8431458946. The cubic root of 319224084 is about 683.4370988697.

Adding to 319224084 its reverse (480422913), we get a palindrome (799646997).

The spelling of 319224084 in words is "three hundred nineteen million, two hundred twenty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 311 622 933 1244 1866 3719 3732 7153 7438 11157 14306 14876 21459 22314 28612 42918 44628 85537 85836 171074 256611 342148 513222 1026444 1156609 2313218 3469827 4626436 6939654 13879308 26602007 53204014 79806021 106408028 159612042 319224084