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30849280 = 285711313
BaseRepresentation
bin111010110101…
…1100100000000
32011001022020221
41311223210000
530344134110
63021112424
7523133410
oct165534400
964038227
1030849280
1116460580
12a3b8714
136511717
144150640
152a957da
hex1d6b900

30849280 has 144 divisors (see below), whose sum is σ = 92421504. Its totient is φ = 9584640.

The previous prime is 30849257. The next prime is 30849281. The reversal of 30849280 is 8294803.

It is not an unprimeable number, because it can be changed into a prime (30849281) 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 15 ways as a sum of consecutive naturals, for example, 98404 + ... + 98716.

It is an arithmetic number, because the mean of its divisors is an integer number (641816).

Almost surely, 230849280 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 30849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46210752).

30849280 is an abundant number, since it is smaller than the sum of its proper divisors (61572224).

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

30849280 is a wasteful number, since it uses less digits than its factorization.

30849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 30849280 is about 5554.2128155122. The cubic root of 30849280 is about 313.6281315872.

The spelling of 30849280 in words is "thirty million, eight hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 313 320 352 385 440 448 560 616 626 640 704 770 880 896 1120 1232 1252 1280 1408 1540 1565 1760 1792 2191 2240 2464 2504 2816 3080 3130 3443 3520 4382 4480 4928 5008 6160 6260 6886 7040 8764 8960 9856 10016 10955 12320 12520 13772 14080 17215 17528 19712 20032 21910 24101 24640 25040 27544 34430 35056 40064 43820 48202 49280 50080 55088 68860 70112 80128 87640 96404 98560 100160 110176 120505 137720 140224 175280 192808 200320 220352 241010 275440 280448 350560 385616 400640 440704 482020 550880 560896 701120 771232 881408 964040 1101760 1402240 1542464 1928080 2203520 2804480 3084928 3856160 4407040 6169856 7712320 15424640 30849280