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3386664 = 233315679
BaseRepresentation
bin1100111010110100101000
320101001122000
430322310220
51331333124
6200331000
740533441
oct14726450
96331560
103386664
111a034a6
121173a60
13917658
146422c8
1546d6c9
hex33ad28

3386664 has 32 divisors (see below), whose sum is σ = 9408000. Its totient is φ = 1128816.

The previous prime is 3386653. The next prime is 3386671. The reversal of 3386664 is 4666833.

3386664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33866642 = 22938986097792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 7624 + ... + 8055.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 23386664 is an apocalyptic number.

It is an amenable number.

3386664 is an abundant number, since it is smaller than the sum of its proper divisors (6021336).

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

3386664 is a wasteful number, since it uses less digits than its factorization.

3386664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 15684 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3386664 is about 1840.2891077219. The cubic root of 3386664 is about 150.1726013157.

It can be divided in two parts, 33866 and 64, that added together give a triangular number (33930 = T260).

The spelling of 3386664 in words is "three million, three hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 15679 31358 47037 62716 94074 125432 141111 188148 282222 376296 423333 564444 846666 1128888 1693332 3386664