Search a number
-
+
3305900 = 2252132543
BaseRepresentation
bin1100100111000110101100
320012221211202
430213012230
51321242100
6154505032
740046123
oct14470654
96187752
103305900
111958854
121135178
138b9970
14620aba
154547d5
hex3271ac

3305900 has 36 divisors (see below), whose sum is σ = 7728672. Its totient is φ = 1220160.

The previous prime is 3305891. The next prime is 3305917. The reversal of 3305900 is 95033.

3305900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 29 + ... + 2571.

Almost surely, 23305900 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 3305900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864336).

3305900 is an abundant number, since it is smaller than the sum of its proper divisors (4422772).

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

3305900 is a wasteful number, since it uses less digits than its factorization.

3305900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 3305900 is about 1818.2134088165. The cubic root of 3305900 is about 148.9692292658.

The spelling of 3305900 in words is "three million, three hundred five thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2543 5086 10172 12715 25430 33059 50860 63575 66118 127150 132236 165295 254300 330590 661180 826475 1652950 3305900