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3006344 = 2311127269
BaseRepresentation
bin1011011101111110001000
312122201221002
423131332020
51232200334
6144234132
734360565
oct13357610
95581832
103006344
111773790
12100b948
13813503
1458386c
153e5b7e
hex2ddf88

3006344 has 32 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 1350720.

The previous prime is 3006323. The next prime is 3006347. The reversal of 3006344 is 4436003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3006347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11042 + ... + 11310.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 23006344 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 3006344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

3006344 is an abundant number, since it is smaller than the sum of its proper divisors (3214456).

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

3006344 is a wasteful number, since it uses less digits than its factorization.

3006344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3006344 is about 1733.8811954687. The cubic root of 3006344 is about 144.3265480237.

The spelling of 3006344 in words is "three million, six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 127 254 269 508 538 1016 1076 1397 2152 2794 2959 5588 5918 11176 11836 23672 34163 68326 136652 273304 375793 751586 1503172 3006344