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3426944 = 2741653
BaseRepresentation
bin1101000100101010000000
320110002212212
431010222000
51334130234
6201241252
741062043
oct15045200
96402785
103426944
111a30794
121193228
1392caa1
14652c5a
1547a5ce
hex344a80

3426944 has 32 divisors (see below), whose sum is σ = 7004340. Its totient is φ = 1669120.

The previous prime is 3426937. The next prime is 3426949. The reversal of 3426944 is 4496243.

It can be written as a sum of positive squares in 2 ways, for example, as 2849344 + 577600 = 1688^2 + 760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 35 + 4 + 221 + 67 + 9 + 45 + 410 .

It is a self number, because there is not a number n which added to its sum of digits gives 3426944.

It is not an unprimeable number, because it can be changed into a prime (3426949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4922 + ... + 5574.

Almost surely, 23426944 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 3426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502170).

3426944 is an abundant number, since it is smaller than the sum of its proper divisors (3577396).

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

3426944 is an equidigital number, since it uses as much as digits as its factorization.

3426944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 3426944 is about 1851.2006914433. The cubic root of 3426944 is about 150.7656262020.

The spelling of 3426944 in words is "three million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 653 656 1306 1312 2612 2624 5224 5248 10448 20896 26773 41792 53546 83584 107092 214184 428368 856736 1713472 3426944