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330020010 = 23258941201
BaseRepresentation
bin10011101010111…
…011010010101010
3211222222202100100
4103222323102222
51133441120020
652425250230
711115060315
oct2352732252
9758882310
10330020010
1115a318a11
1292633976
13534abc18
1431b8997c
151de8da90
hex13abb4aa

330020010 has 48 divisors (see below), whose sum is σ = 867714120. Its totient is φ = 87014400.

The previous prime is 330019901. The next prime is 330020011. The reversal of 330020010 is 10020033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 271359729 + 58660281 = 16473^2 + 7659^2 .

It is a super-3 number, since 3×3300200103 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 330019974 and 330020001.

It is not an unprimeable number, because it can be changed into a prime (330020011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12591 + ... + 28610.

Almost surely, 2330020010 is an apocalyptic number.

330020010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330020010 is an abundant number, since it is smaller than the sum of its proper divisors (537694110).

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

330020010 is a wasteful number, since it uses less digits than its factorization.

330020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41303 (or 41300 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 330020010 is about 18166.4528733597. The cubic root of 330020010 is about 691.0562901500.

Adding to 330020010 its reverse (10020033), we get a palindrome (340040043).

The spelling of 330020010 in words is "three hundred thirty million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 41201 82402 123603 206005 247206 370809 412010 618015 741618 1236030 1854045 3666889 3708090 7333778 11000667 18334445 22001334 33002001 36668890 55003335 66004002 110006670 165010005 330020010