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330240020 = 225111519941
BaseRepresentation
bin10011101011110…
…001000000010100
3212000101221010212
4103223301000110
51134020140040
652434104552
711116664615
oct2353610024
9760357125
10330240020
1115a459240
129271b158
13535580c6
1431c05c0c
151ded3d65
hex13af1014

330240020 has 48 divisors (see below), whose sum is σ = 761636736. Its totient is φ = 119280000.

The previous prime is 330240019. The next prime is 330240041. The reversal of 330240020 is 20042033.

330240020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 330239977 and 330240004.

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, 28250 + ... + 38190.

It is an arithmetic number, because the mean of its divisors is an integer number (15867432).

Almost surely, 2330240020 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 330240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380818368).

330240020 is an abundant number, since it is smaller than the sum of its proper divisors (431396716).

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

330240020 is a wasteful number, since it uses less digits than its factorization.

330240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112 (or 10110 counting only the distinct ones).

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

The square root of 330240020 is about 18172.5072568427. The cubic root of 330240020 is about 691.2098217706.

Adding to 330240020 its reverse (20042033), we get a palindrome (350282053).

The spelling of 330240020 in words is "three hundred thirty million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 9941 16610 19882 33220 39764 49705 99410 109351 198820 218702 437404 546755 1093510 1501091 2187020 3002182 6004364 7505455 15010910 16512001 30021820 33024002 66048004 82560005 165120010 330240020