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3066912 = 253223463
BaseRepresentation
bin1011101100110000100000
312202211000100
423230300200
51241120122
6145422400
735032302
oct13546040
95684010
103066912
111805242
12103aa00
13834c54
1459b972
15408aac
hex2ecc20

3066912 has 72 divisors (see below), whose sum is σ = 9120384. Its totient is φ = 975744.

The previous prime is 3066911. The next prime is 3066971. The reversal of 3066912 is 2196603.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3066911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6393 + ... + 6855.

It is an arithmetic number, because the mean of its divisors is an integer number (126672).

Almost surely, 23066912 is an apocalyptic number.

3066912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560192).

3066912 is an abundant number, since it is smaller than the sum of its proper divisors (6053472).

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

3066912 is a wasteful number, since it uses less digits than its factorization.

3066912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3066912 is about 1751.2601177438. The cubic root of 3066912 is about 145.2893469182.

The spelling of 3066912 in words is "three million, sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 463 552 736 828 926 1104 1389 1656 1852 2208 2778 3312 3704 4167 5556 6624 7408 8334 10649 11112 14816 16668 21298 22224 31947 33336 42596 44448 63894 66672 85192 95841 127788 133344 170384 191682 255576 340768 383364 511152 766728 1022304 1533456 3066912