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3349812 = 2232353229
BaseRepresentation
bin1100110001110100110100
320022012002010
430301310310
51324143222
6155444220
740321134
oct14616464
96265063
103349812
111988844
121156670
1390394b
14632ac4
1546280c
hex331d34

3349812 has 48 divisors (see below), whose sum is σ = 8346240. Its totient is φ = 1043328.

The previous prime is 3349807. The next prime is 3349817. The reversal of 3349812 is 2189433.

3349812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3349807) and next prime (3349817).

It is a super-2 number, since 2×33498122 = 22442480870688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3349812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349817) 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 15 ways as a sum of consecutive naturals, for example, 14514 + ... + 14742.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 23349812 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 3349812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173120).

3349812 is an abundant number, since it is smaller than the sum of its proper divisors (4996428).

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

3349812 is a wasteful number, since it uses less digits than its factorization.

3349812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3349812 is about 1830.2491633655. The cubic root of 3349812 is about 149.6259122758.

The spelling of 3349812 in words is "three million, three hundred forty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 229 276 318 458 636 687 916 1219 1374 2438 2748 3657 4876 5267 7314 10534 12137 14628 15801 21068 24274 31602 36411 48548 63204 72822 145644 279151 558302 837453 1116604 1674906 3349812