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319389444 = 2232113492311
BaseRepresentation
bin10011000010010…
…111111100000100
3211020222122221200
4103002113330010
51123230430234
651405342500
710625523363
oct2302277404
9736878850
10319389444
11154318020
128ab67a30
135122934a
14305bd7da
151d08dd99
hex13097f04

319389444 has 72 divisors (see below), whose sum is σ = 883646400. Its totient is φ = 96465600.

The previous prime is 319389443. The next prime is 319389491. The reversal of 319389444 is 444983913.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 319389444.

It is not an unprimeable number, because it can be changed into a prime (319389443) 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 23 ways as a sum of consecutive naturals, for example, 137049 + ... + 139359.

Almost surely, 2319389444 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 319389444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441823200).

319389444 is an abundant number, since it is smaller than the sum of its proper divisors (564256956).

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

319389444 is a wasteful number, since it uses less digits than its factorization.

319389444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2676 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 319389444 is about 17871.4701130041. The cubic root of 319389444 is about 683.5550866784. Note that the first 3 decimals are identical.

The spelling of 319389444 in words is "three hundred nineteen million, three hundred eighty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 349 396 698 1047 1396 2094 2311 3141 3839 4188 4622 6282 6933 7678 9244 11517 12564 13866 15356 20799 23034 25421 27732 34551 41598 46068 50842 69102 76263 83196 101684 138204 152526 228789 305052 457578 806539 915156 1613078 2419617 3226156 4839234 7258851 8871929 9678468 14517702 17743858 26615787 29035404 35487716 53231574 79847361 106463148 159694722 319389444