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340222320 = 24325598009
BaseRepresentation
bin10100010001110…
…110000101110000
3212201012002021200
4110101312011300
51144044103240
653432051200
711300561544
oct2421660560
9781162250
10340222320
11165057079
1295b33b00
13556418a9
1433283a24
151ed06930
hex14476170

340222320 has 120 divisors (see below), whose sum is σ = 1162090800. Its totient is φ = 89177088.

The previous prime is 340222313. The next prime is 340222369. The reversal of 340222320 is 23222043.

340222320 is a `hidden beast` number, since 340 + 2 + 2 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 340222293 and 340222302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38476 + ... + 46484.

It is an arithmetic number, because the mean of its divisors is an integer number (9684090).

Almost surely, 2340222320 is an apocalyptic number.

340222320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581045400).

340222320 is an abundant number, since it is smaller than the sum of its proper divisors (821868480).

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

340222320 is a wasteful number, since it uses less digits than its factorization.

340222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340222320 is about 18445.1164268486. The cubic root of 340222320 is about 698.1052979732.

Adding to 340222320 its reverse (23222043), we get a palindrome (363444363).

The spelling of 340222320 in words is "three hundred forty million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8009 8496 10620 14160 16018 21240 24027 32036 40045 42480 48054 64072 72081 80090 96108 120135 128144 144162 160180 192216 240270 288324 320360 360405 384432 472531 480540 576648 640720 720810 945062 961080 1153296 1417593 1441620 1890124 1922160 2362655 2835186 2883240 3780248 4252779 4725310 5670372 5766480 7087965 7560496 8505558 9450620 11340744 14175930 17011116 18901240 21263895 22681488 28351860 34022232 37802480 42527790 56703720 68044464 85055580 113407440 170111160 340222320