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3266964 = 223290749
BaseRepresentation
bin1100011101100110010100
320010222102200
430131212110
51314020324
6154004500
736524451
oct14354624
96128380
103266964
111931578
121116730
138a501c
14610828
15447ec9
hex31d994

3266964 has 18 divisors (see below), whose sum is σ = 8258250. Its totient is φ = 1088976.

The previous prime is 3266957. The next prime is 3266999. The reversal of 3266964 is 4696623.

3266964 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3090564 + 176400 = 1758^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 90749 = 3266964 / (3 + 2 + 6 + 6 + 9 + 6 + 4).

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 45339 + ... + 45410.

Almost surely, 23266964 is an apocalyptic number.

It is an amenable number.

3266964 is an abundant number, since it is smaller than the sum of its proper divisors (4991286).

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

3266964 is a wasteful number, since it uses less digits than its factorization.

3266964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90759 (or 90754 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3266964 is about 1807.4744811477. The cubic root of 3266964 is about 148.3820782720.

The spelling of 3266964 in words is "three million, two hundred sixty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 90749 181498 272247 362996 544494 816741 1088988 1633482 3266964