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3385840 = 24542323
BaseRepresentation
bin1100111010100111110000
320101000111111
430322213300
51331321330
6200323104
740531153
oct14724760
96330444
103385840
111a02917
121173494
13917173
14641c9a
1546d32a
hex33a9f0

3385840 has 20 divisors (see below), whose sum is σ = 7872264. Its totient is φ = 1354304.

The previous prime is 3385829. The next prime is 3385841. The reversal of 3385840 is 485833.

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

It is a super-2 number, since 2×33858402 = 22927825011200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21082 + ... + 21241.

Almost surely, 23385840 is an apocalyptic number.

It is an amenable number.

3385840 is an abundant number, since it is smaller than the sum of its proper divisors (4486424).

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

3385840 is a wasteful number, since it uses less digits than its factorization.

3385840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42336 (or 42330 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 3385840 is about 1840.0652162356. The cubic root of 3385840 is about 150.1604209655.

It can be divided in two parts, 3385 and 840, that added together give a square (4225 = 652).

The spelling of 3385840 in words is "three million, three hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 42323 84646 169292 211615 338584 423230 677168 846460 1692920 3385840