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3330012 = 2237291367
BaseRepresentation
bin1100101100111111011100
320021011220210
430230333130
51323030022
6155212420
740206330
oct14547734
96234823
103330012
111974984
121147110
138c792a
146297c0
1545ba0c
hex32cfdc

3330012 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 917952.

The previous prime is 3329999. The next prime is 3330013. The reversal of 3330012 is 2100333.

It is a happy number.

It is a super-2 number, since 2×33300122 = 22177959840288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 3330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330013) 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, 1753 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23330012 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 3330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3330012 is an abundant number, since it is smaller than the sum of its proper divisors (5862948).

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

3330012 is a wasteful number, since it uses less digits than its factorization.

3330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3330012 is about 1824.8320470662. The cubic root of 3330012 is about 149.3305276011.

Adding to 3330012 its reverse (2100333), we get a palindrome (5430345).

The spelling of 3330012 in words is "three million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 1367 2436 2734 4101 5468 8202 9569 16404 19138 28707 38276 39643 57414 79286 114828 118929 158572 237858 277501 475716 555002 832503 1110004 1665006 3330012