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3840180 = 2235292207
BaseRepresentation
bin1110101001100010110100
321020002201220
432221202310
51440341210
6214150340
744432601
oct16514264
97202656
103840180
112193203
1213523b0
13a45bc6
1471d6a8
1550cc70
hex3a98b4

3840180 has 48 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 988288.

The previous prime is 3840173. The next prime is 3840191. The reversal of 3840180 is 810483.

3840180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3840180.

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 15 ways as a sum of consecutive naturals, for example, 637 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (231840).

Almost surely, 23840180 is an apocalyptic number.

3840180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3840180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564160).

3840180 is an abundant number, since it is smaller than the sum of its proper divisors (7288140).

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

3840180 is a wasteful number, since it uses less digits than its factorization.

3840180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3840180 is about 1959.6377216210. The cubic root of 3840180 is about 156.5971524008.

The spelling of 3840180 in words is "three million, eight hundred forty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 2207 4414 6621 8828 11035 13242 22070 26484 33105 44140 64003 66210 128006 132420 192009 256012 320015 384018 640030 768036 960045 1280060 1920090 3840180