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3428844 = 2232959167
BaseRepresentation
bin1101000101000111101100
320110012111020
431011013230
51334210334
6201254140
741100426
oct15050754
96405436
103428844
111a32161
121194350
13930903
14653816
1547ae49
hex3451ec

3428844 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1078336.

The previous prime is 3428839. The next prime is 3428851. The reversal of 3428844 is 4488243.

3428844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 20449 + ... + 20615.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 23428844 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 3428844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3428844 is an abundant number, since it is smaller than the sum of its proper divisors (5038356).

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

3428844 is a wasteful number, since it uses less digits than its factorization.

3428844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 3428844 is about 1851.7138007802. The cubic root of 3428844 is about 150.7934840414.

The spelling of 3428844 in words is "three million, four hundred twenty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 167 174 177 236 334 348 354 501 668 708 1002 1711 2004 3422 4843 5133 6844 9686 9853 10266 14529 19372 19706 20532 29058 29559 39412 58116 59118 118236 285737 571474 857211 1142948 1714422 3428844