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3325040 = 24589467
BaseRepresentation
bin1100101011110001110000
320020221002122
430223301300
51322400130
6155133412
740155665
oct14536160
96227078
103325040
111971174
121144268
138c55a4
14627a6c
1545a2e5
hex32bc70

3325040 has 40 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 1312256.

The previous prime is 3325039. The next prime is 3325043. The reversal of 3325040 is 405233.

3325040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33250402 = 22111782003200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325043) 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, 6887 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (195858).

Almost surely, 23325040 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 3325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

3325040 is an abundant number, since it is smaller than the sum of its proper divisors (4509280).

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

3325040 is a wasteful number, since it uses less digits than its factorization.

3325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3325040 is about 1823.4692210180. The cubic root of 3325040 is about 149.2561693890.

The spelling of 3325040 in words is "three million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 467 712 890 934 1424 1780 1868 2335 3560 3736 4670 7120 7472 9340 18680 37360 41563 83126 166252 207815 332504 415630 665008 831260 1662520 3325040