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30080320 = 265236167
BaseRepresentation
bin111001010111…
…1110101000000
32002121020102221
41302233311000
530200032240
62552420424
7513451504
oct162576500
962536387
1030080320
1115a85876
12a0a7714
13630270a
143dd0304
152992a4a
hex1cafd40

30080320 has 112 divisors (see below), whose sum is σ = 77102208. Its totient is φ = 11151360.

The previous prime is 30080317. The next prime is 30080321. The reversal of 30080320 is 2308003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30080294 and 30080303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30080321) 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 15 ways as a sum of consecutive naturals, for example, 448927 + ... + 448993.

Almost surely, 230080320 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 30080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38551104).

30080320 is an abundant number, since it is smaller than the sum of its proper divisors (47021888).

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

30080320 is a wasteful number, since it uses less digits than its factorization.

30080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 30080320 is about 5484.5528532415. The cubic root of 30080320 is about 311.0003067238. Note that the first 3 decimals are identical.

Adding to 30080320 its reverse (2308003), we get a palindrome (32388323).

The spelling of 30080320 in words is "thirty million, eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 61 64 67 80 92 115 122 134 160 184 230 244 268 305 320 335 368 460 488 536 610 670 736 920 976 1072 1220 1340 1403 1472 1541 1840 1952 2144 2440 2680 2806 3082 3680 3904 4087 4288 4880 5360 5612 6164 7015 7360 7705 8174 9760 10720 11224 12328 14030 15410 16348 19520 20435 21440 22448 24656 28060 30820 32696 40870 44896 49312 56120 61640 65392 81740 89792 94001 98624 112240 123280 130784 163480 188002 224480 246560 261568 326960 376004 448960 470005 493120 653920 752008 940010 1307840 1504016 1880020 3008032 3760040 6016064 7520080 15040160 30080320