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3093840 = 243254297
BaseRepresentation
bin1011110011010101010000
312211011221200
423303111100
51243000330
6150151200
735203641
oct13632520
95734850
103093840
1118234a2
121052500
13844299
145a76c8
15411a60
hex2f3550

3093840 has 60 divisors (see below), whose sum is σ = 10392564. Its totient is φ = 824832.

The previous prime is 3093823. The next prime is 3093841. The reversal of 3093840 is 483903.

3093840 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 2 ways, for example, as 1382976 + 1710864 = 1176^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3093841) 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 11 ways as a sum of consecutive naturals, for example, 1429 + ... + 2868.

Almost surely, 23093840 is an apocalyptic number.

3093840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3093840 is an abundant number, since it is smaller than the sum of its proper divisors (7298724).

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

3093840 is a wasteful number, since it uses less digits than its factorization.

3093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3093840 is about 1758.9314938337. The cubic root of 3093840 is about 145.7133300316.

The spelling of 3093840 in words is "three million, ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4297 8594 12891 17188 21485 25782 34376 38673 42970 51564 64455 68752 77346 85940 103128 128910 154692 171880 193365 206256 257820 309384 343760 386730 515640 618768 773460 1031280 1546920 3093840