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3341384 = 231779311
BaseRepresentation
bin1100101111110001001000
320021202111222
430233301020
51323411014
6155341212
740254434
oct14576110
96252458
103341384
111982482
121151808
138ccb67
1462d9c4
1546008e
hex32fc48

3341384 has 32 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 1547520.

The previous prime is 3341369. The next prime is 3341389. The reversal of 3341384 is 4831433.

3341384 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-3 number, since 3×33413843 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3341389) by changing a digit.

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, 10589 + ... + 10899.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 23341384 is an apocalyptic number.

3341384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3341384 is an abundant number, since it is smaller than the sum of its proper divisors (3397816).

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

3341384 is a wasteful number, since it uses less digits than its factorization.

3341384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 3341384 is about 1827.9452945862. The cubic root of 3341384 is about 149.5003225162.

The spelling of 3341384 in words is "three million, three hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 8 17 34 68 79 136 158 311 316 622 632 1244 1343 2488 2686 5287 5372 10574 10744 21148 24569 42296 49138 98276 196552 417673 835346 1670692 3341384