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330080268 = 223722324407
BaseRepresentation
bin10011101011001…
…010000000001100
3212000002211000010
4103223022000030
51134000032033
652430433220
711115431100
oct2353120014
9760084003
10330080268
1115a35a211
1292662810
135350048b
1431ba3900
151dea1863
hex13aca00c

330080268 has 72 divisors (see below), whose sum is σ = 934924032. Its totient is φ = 90204576.

The previous prime is 330080251. The next prime is 330080287. The reversal of 330080268 is 862080033.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1321 + ... + 25727.

It is an arithmetic number, because the mean of its divisors is an integer number (12985056).

Almost surely, 2330080268 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 330080268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467462016).

330080268 is an abundant number, since it is smaller than the sum of its proper divisors (604843764).

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

330080268 is a wasteful number, since it uses less digits than its factorization.

330080268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24451 (or 24442 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 330080268 is about 18168.1112942430. Note that the first 3 decimals coincide. The cubic root of 330080268 is about 691.0983473329.

The spelling of 330080268 in words is "three hundred thirty million, eighty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 13524 24407 48814 73221 97628 146442 170849 292884 341698 512547 561361 683396 1025094 1122722 1195943 1684083 2050188 2245444 2391886 3368166 3587829 3929527 4783772 6736332 7175658 7859054 11788581 14351316 15718108 23577162 27506689 47154324 55013378 82520067 110026756 165040134 330080268