Search a number
-
+
319321368 = 233216726557
BaseRepresentation
bin10011000010000…
…111010100011000
3211020212012120100
4103002013110120
51123221240433
651404055400
710625121042
oct2302072430
9736765510
10319321368
11154280963
128ab34560
1351204372
14305a2a92
151d078b13
hex13087518

319321368 has 48 divisors (see below), whose sum is σ = 870040080. Its totient is φ = 105799104.

The previous prime is 319321363. The next prime is 319321369. The reversal of 319321368 is 863123913.

319321368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3193213682 = 203932272122782848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319321363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255 + ... + 25302.

It is an arithmetic number, because the mean of its divisors is an integer number (18125835).

Almost surely, 2319321368 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 319321368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435020040).

319321368 is an abundant number, since it is smaller than the sum of its proper divisors (550718712).

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

319321368 is a wasteful number, since it uses less digits than its factorization.

319321368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26736 (or 26729 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 319321368 is about 17869.5654116154. The cubic root of 319321368 is about 683.5065179655.

The spelling of 319321368 in words is "three hundred nineteen million, three hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 4008 6012 12024 26557 53114 79671 106228 159342 212456 239013 318684 478026 637368 956052 1912104 4435019 8870038 13305057 17740076 26610114 35480152 39915171 53220228 79830342 106440456 159660684 319321368