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330240120 = 23357393143
BaseRepresentation
bin10011101011110…
…001000001111000
3212000101221021120
4103223301001320
51134020140440
652434105240
711116665120
oct2353610170
9760357246
10330240120
1115a459321
129271b220
1353558172
1431c05c80
151ded3dd0
hex13af1078

330240120 has 64 divisors (see below), whose sum is σ = 1132254720. Its totient is φ = 75483264.

The previous prime is 330240103. The next prime is 330240149. The reversal of 330240120 is 21042033.

330240120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3302401202 = 218117073715228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 330240120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195732 + ... + 197411.

It is an arithmetic number, because the mean of its divisors is an integer number (17691480).

Almost surely, 2330240120 is an apocalyptic number.

330240120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330240120 is an abundant number, since it is smaller than the sum of its proper divisors (802014600).

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

330240120 is a wasteful number, since it uses less digits than its factorization.

330240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393164 (or 393160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 330240120 is about 18172.5100082515. The cubic root of 330240120 is about 691.2098915390.

Adding to 330240120 its reverse (21042033), we get a palindrome (351282153).

The spelling of 330240120 in words is "three hundred thirty million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 393143 786286 1179429 1572572 1965715 2358858 2752001 3145144 3931430 4717716 5504002 5897145 7862860 8256003 9435432 11008004 11794290 13760005 15725720 16512006 22016008 23588580 27520010 33024012 41280015 47177160 55040020 66048024 82560030 110080040 165120060 330240120