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330000020 = 225716314461
BaseRepresentation
bin10011101010110…
…110011010010100
3211222221201220222
4103222312122110
51133440000040
652425013512
711114645120
oct2352663224
9758851828
10330000020
1115a304999
1292624298
13534a2aac
1431b82580
151de87bb5
hex13ab6694

330000020 has 48 divisors (see below), whose sum is σ = 796914048. Its totient is φ = 112440960.

The previous prime is 330000001. The next prime is 330000023. The reversal of 330000020 is 20000033.

It is a junction number, because it is equal to n+sod(n) for n = 329999962 and 330000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15590 + ... + 30050.

It is an arithmetic number, because the mean of its divisors is an integer number (16602376).

Almost surely, 2330000020 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 330000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398457024).

330000020 is an abundant number, since it is smaller than the sum of its proper divisors (466914028).

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

330000020 is a wasteful number, since it uses less digits than its factorization.

330000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14640 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 330000020 is about 18165.9026750668. The cubic root of 330000020 is about 691.0423369616.

Adding to 330000020 its reverse (20000033), we get a palindrome (350000053).

The spelling of 330000020 in words is "three hundred thirty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 4564 5705 11410 14461 22820 28922 57844 72305 101227 144610 202454 289220 404908 506135 1012270 2024540 2357143 4714286 9428572 11785715 16500001 23571430 33000002 47142860 66000004 82500005 165000010 330000020