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3066264 = 2332371151
BaseRepresentation
bin1011101100100110011000
312202210010100
423230212120
51241110024
6145415400
735030355
oct13544630
95683110
103066264
111804803
12103a560
13834876
1459b62c
154087c9
hex2ec998

3066264 has 48 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 993600.

The previous prime is 3066263. The next prime is 3066293. The reversal of 3066264 is 4626603.

3066264 is a `hidden beast` number, since 30 + 6 + 626 + 4 = 666.

3066264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066263) 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 11 ways as a sum of consecutive naturals, for example, 2089 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (177840).

Almost surely, 23066264 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 3066264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268160).

3066264 is an abundant number, since it is smaller than the sum of its proper divisors (5470056).

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

3066264 is a wasteful number, since it uses less digits than its factorization.

3066264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3066264 is about 1751.0750983325. The cubic root of 3066264 is about 145.2791135924.

The spelling of 3066264 in words is "three million, sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1151 1332 2302 2664 3453 4604 6906 9208 10359 13812 20718 27624 41436 42587 82872 85174 127761 170348 255522 340696 383283 511044 766566 1022088 1533132 3066264