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3382096 = 242937197
BaseRepresentation
bin1100111001101101010000
320100211100211
430321231100
51331211341
6200253504
740514224
oct14715520
96324324
103382096
111a00023
121171294
13915553
14640784
1546c181
hex339b50

3382096 has 40 divisors (see below), whose sum is σ = 6997320. Its totient is φ = 1580544.

The previous prime is 3382063. The next prime is 3382103. The reversal of 3382096 is 6902833.

It is a happy number.

3382096 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 4 ways, for example, as 2250000 + 1132096 = 1500^2 + 1064^2 .

It is a super-2 number, since 2×33820962 = 22877146706432, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 17070 + ... + 17266.

It is an arithmetic number, because the mean of its divisors is an integer number (174933).

Almost surely, 23382096 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 3382096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498660).

3382096 is an abundant number, since it is smaller than the sum of its proper divisors (3615224).

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

3382096 is a wasteful number, since it uses less digits than its factorization.

3382096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3382096 is about 1839.0475795911. The cubic root of 3382096 is about 150.1050523355.

The spelling of 3382096 in words is "three million, three hundred eighty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 197 232 296 394 464 592 788 1073 1576 2146 3152 4292 5713 7289 8584 11426 14578 17168 22852 29156 45704 58312 91408 116624 211381 422762 845524 1691048 3382096