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3385000 = 2354677
BaseRepresentation
bin1100111010011010101000
320100222100101
430322122220
51331310000
6200315144
740525543
oct14723250
96328311
103385000
111a02223
121172ab4
13916978
1464185a
1546ce6a
hex33a6a8

3385000 has 40 divisors (see below), whose sum is σ = 7942770. Its totient is φ = 1352000.

The previous prime is 3384991. The next prime is 3385013. The reversal of 3385000 is 5833.

3385000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 675684 + 2709316 = 822^2 + 1646^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33850002 = 22916450000000, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 4662 + ... + 5338.

Almost surely, 23385000 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 3385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971385).

3385000 is an abundant number, since it is smaller than the sum of its proper divisors (4557770).

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

3385000 is an equidigital number, since it uses as much as digits as its factorization.

3385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3385000 is about 1839.8369492974. The cubic root of 3385000 is about 150.1480020694.

It can be divided in two parts, 338 and 5000, that multiplied together give a square (1690000 = 13002).

The spelling of 3385000 in words is "three million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 677 1000 1250 1354 2500 2708 3385 5000 5416 6770 13540 16925 27080 33850 67700 84625 135400 169250 338500 423125 677000 846250 1692500 3385000