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3006630 = 2325113037
BaseRepresentation
bin1011011110000010100110
312122202022200
423132002212
51232203010
6144235330
734361454
oct13360246
95582280
103006630
111773a20
12100bb46
13813693
145839d4
153e5cc0
hex2de0a6

3006630 has 48 divisors (see below), whose sum is σ = 8530704. Its totient is φ = 728640.

The previous prime is 3006623. The next prime is 3006631. The reversal of 3006630 is 366003.

3006630 is a `hidden beast` number, since 3 + 0 + 0 + 663 + 0 = 666.

3006630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529 + ... + 2508.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 23006630 is an apocalyptic number.

3006630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3006630 is an abundant number, since it is smaller than the sum of its proper divisors (5524074).

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

3006630 is a wasteful number, since it uses less digits than its factorization.

3006630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3006630 is about 1733.9636674394. The cubic root of 3006630 is about 144.3311245774.

The spelling of 3006630 in words is "three million, six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 3037 6074 9111 15185 18222 27333 30370 33407 45555 54666 66814 91110 100221 136665 167035 200442 273330 300663 334070 501105 601326 1002210 1503315 3006630