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3008040 = 233573581
BaseRepresentation
bin1011011110011000101000
312122211020220
423132120220
51232224130
6144250040
734365540
oct13363050
95584226
103008040
111774a92
121010920
13814209
14584320
153e6410
hex2de628

3008040 has 64 divisors (see below), whose sum is σ = 10316160. Its totient is φ = 687360.

The previous prime is 3008029. The next prime is 3008041. The reversal of 3008040 is 408003.

3008040 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3008041) 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 15 ways as a sum of consecutive naturals, for example, 951 + ... + 2630.

It is an arithmetic number, because the mean of its divisors is an integer number (161190).

Almost surely, 23008040 is an apocalyptic number.

3008040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3008040 is an abundant number, since it is smaller than the sum of its proper divisors (7308120).

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

3008040 is a wasteful number, since it uses less digits than its factorization.

3008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3008040 is about 1734.3702026961. The cubic root of 3008040 is about 144.3536830655.

The spelling of 3008040 in words is "three million, eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3581 7162 10743 14324 17905 21486 25067 28648 35810 42972 50134 53715 71620 75201 85944 100268 107430 125335 143240 150402 200536 214860 250670 300804 376005 429720 501340 601608 752010 1002680 1504020 3008040