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3330041 = 112132973
BaseRepresentation
bin1100101100111111111001
320021011221212
430230333321
51323030131
6155212505
740206401
oct14547771
96234855
103330041
111974a00
121147135
138c7950
14629801
1545ba2b
hex32cff9

3330041 has 24 divisors (see below), whose sum is σ = 4133640. Its totient is φ = 2661120.

The previous prime is 3330013. The next prime is 3330053. The reversal of 3330041 is 1400333.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 193600 + 3136441 = 440^2 + 1771^2 .

It is a de Polignac number, because none of the positive numbers 2k-3330041 is a prime.

It is a super-2 number, since 2×33300412 = 22178346123362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3329998 and 3330025.

It is not an unprimeable number, because it can be changed into a prime (3330641) 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, 45581 + ... + 45653.

It is an arithmetic number, because the mean of its divisors is an integer number (172235).

Almost surely, 23330041 is an apocalyptic number.

It is an amenable number.

3330041 is a deficient number, since it is larger than the sum of its proper divisors (803599).

3330041 is a wasteful number, since it uses less digits than its factorization.

3330041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3330041 is about 1824.8399929857. The cubic root of 3330041 is about 149.3309610903.

Adding to 3330041 its reverse (1400333), we get a palindrome (4730374).

The spelling of 3330041 in words is "three million, three hundred thirty thousand, forty-one".

Divisors: 1 11 13 29 73 121 143 319 377 803 949 1573 2117 3509 4147 8833 10439 23287 27521 45617 114829 256157 302731 3330041