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3389840 = 24542373
BaseRepresentation
bin1100111011100110010000
320101012222122
430323212100
51331433330
6200353412
740545626
oct14734620
96335878
103389840
111a05923
121175868
13918c2c
14643516
1546e5e5
hex33b990

3389840 has 20 divisors (see below), whose sum is σ = 7881564. Its totient is φ = 1355904.

The previous prime is 3389801. The next prime is 3389857. The reversal of 3389840 is 489833.

3389840 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 2 ways, for example, as 620944 + 2768896 = 788^2 + 1664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33898402 = 22982030451200, 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 3389840.

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 3 ways as a sum of consecutive naturals, for example, 21107 + ... + 21266.

Almost surely, 23389840 is an apocalyptic number.

It is an amenable number.

3389840 is an abundant number, since it is smaller than the sum of its proper divisors (4491724).

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

3389840 is a wasteful number, since it uses less digits than its factorization.

3389840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42386 (or 42380 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3389840 is about 1841.1518134038. The cubic root of 3389840 is about 150.2195304045.

The spelling of 3389840 in words is "three million, three hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 42373 84746 169492 211865 338984 423730 677968 847460 1694920 3389840