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30323020320 = 2532573288461
BaseRepresentation
bin11100001111011001…
…001001001000100000
32220021021010000221200
4130033121021020200
5444100143122240
621532531321200
72122301264025
oct341731111040
986237100850
1030323020320
1111950610a7a
125a63150200
132b23292c98
1416792d154c
15bc7183930
hex70f649220

30323020320 has 144 divisors (see below), whose sum is σ = 104895167832. Its totient is φ = 7975342080.

The previous prime is 30323020313. The next prime is 30323020337. The reversal of 30323020320 is 2302032303.

30323020320 is a `hidden beast` number, since 3 + 0 + 323 + 0 + 20 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15196972176 + 15126048144 = 123276^2 + 122988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×303230203202 (a number of 22 digits) contains 22 as substring.

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 = 30323020293 and 30323020302.

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, 39111 + ... + 249350.

Almost surely, 230323020320 is an apocalyptic number.

30323020320 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 30323020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52447583916).

30323020320 is an abundant number, since it is smaller than the sum of its proper divisors (74572147512).

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

30323020320 is a wasteful number, since it uses less digits than its factorization.

30323020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288555 (or 288544 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30323020320 its reverse (2302032303), we get a palindrome (32625052623).

The spelling of 30323020320 in words is "thirty billion, three hundred twenty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 35040 52560 105120 288461 576922 865383 1153844 1442305 1730766 2307688 2596149 2884610 3461532 4326915 4615376 5192298 5769220 6923064 8653830 9230752 10384596 11538440 12980745 13846128 17307660 20769192 21057653 23076880 25961490 27692256 34615320 41538384 42115306 46153760 51922980 63172959 69230640 83076768 84230612 103845960 105288265 126345918 138461280 168461224 189518877 207691920 210576530 252691836 315864795 336922448 379037754 415383840 421153060 505383672 631729590 673844896 758075508 842306120 947594385 1010767344 1263459180 1516151016 1684612240 1895188770 2021534688 2526918360 3032302032 3369224480 3790377540 5053836720 6064604064 7580755080 10107673440 15161510160 30323020320