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330020240 = 245112103331
BaseRepresentation
bin10011101010111…
…011010110010000
3211222222202122212
4103222323112100
51133441121430
652425251252
711115061064
oct2352732620
9758882585
10330020240
1115a319100
1292633b28
13534ac064
1431b89aa4
151de8db95
hex13abb590

330020240 has 120 divisors (see below), whose sum is σ = 854153664. Its totient is φ = 118483200.

The previous prime is 330020239. The next prime is 330020267. The reversal of 330020240 is 42020033.

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, 996875 + ... + 997205.

Almost surely, 2330020240 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 330020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427076832).

330020240 is an abundant number, since it is smaller than the sum of its proper divisors (524133424).

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

330020240 is a wasteful number, since it uses less digits than its factorization.

330020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 330020240 is about 18166.4592037084. The cubic root of 330020240 is about 691.0564506887.

Adding to 330020240 its reverse (42020033), we get a palindrome (372040273).

The spelling of 330020240 in words is "three hundred thirty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 121 176 206 220 242 331 412 440 484 515 605 662 824 880 968 1030 1133 1210 1324 1648 1655 1936 2060 2266 2420 2648 3310 3641 4120 4532 4840 5296 5665 6620 7282 8240 9064 9680 11330 12463 13240 14564 18128 18205 22660 24926 26480 29128 34093 36410 40051 45320 49852 58256 62315 68186 72820 80102 90640 99704 124630 136372 145640 160204 170465 199408 200255 249260 272744 291280 320408 340930 375023 400510 498520 545488 640816 681860 750046 801020 997040 1363720 1500092 1602040 1875115 2727440 3000184 3204080 3750230 4125253 6000368 7500460 8250506 15000920 16501012 20626265 30001840 33002024 41252530 66004048 82505060 165010120 330020240