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3822140 = 2257231187
BaseRepresentation
bin1110100101001000111100
321012011222202
432211020330
51434302030
6213531032
744326160
oct16451074
97164882
103822140
1121806a3
121343a78
13a3a92a
14716ca0
15507745
hex3a523c

3822140 has 48 divisors (see below), whose sum is σ = 9580032. Its totient is φ = 1252416.

The previous prime is 3822139. The next prime is 3822157. The reversal of 3822140 is 412283.

3822140 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 (20).

It is an Ulam number.

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, 2627 + ... + 3813.

It is an arithmetic number, because the mean of its divisors is an integer number (199584).

Almost surely, 23822140 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 3822140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016).

3822140 is an abundant number, since it is smaller than the sum of its proper divisors (5757892).

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

3822140 is a wasteful number, since it uses less digits than its factorization.

3822140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3822140 is about 1955.0294115435. The cubic root of 3822140 is about 156.3515521169.

The spelling of 3822140 in words is "three million, eight hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1187 1610 2374 3220 4748 5935 8309 11870 16618 23740 27301 33236 41545 54602 83090 109204 136505 166180 191107 273010 382214 546020 764428 955535 1911070 3822140