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3330020 = 2253141131
BaseRepresentation
bin1100101100111111100100
320021011221002
430230333210
51323030040
6155212432
740206341
oct14547744
96234832
103330020
111974991
121147118
138c7935
146297c8
1545ba15
hex32cfe4

3330020 has 48 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 1248000.

The previous prime is 3330013. The next prime is 3330053. The reversal of 3330020 is 200333.

It is a happy number.

It is a super-2 number, since 2×33300202 = 22178066400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3329983 and 3330010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25355 + ... + 25485.

It is an arithmetic number, because the mean of its divisors is an integer number (155232).

Almost surely, 23330020 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 3330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

3330020 is an abundant number, since it is smaller than the sum of its proper divisors (4121116).

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

3330020 is a wasteful number, since it uses less digits than its factorization.

3330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 3330020 is about 1824.8342390475. The cubic root of 3330020 is about 149.3306471845.

Adding to 3330020 its reverse (200333), we get a palindrome (3530353).

The spelling of 3330020 in words is "three million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 131 155 164 205 262 310 410 524 620 655 820 1271 1310 2542 2620 4061 5084 5371 6355 8122 10742 12710 16244 20305 21484 25420 26855 40610 53710 81220 107420 166501 333002 666004 832505 1665010 3330020