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3786340 = 225312197
BaseRepresentation
bin1110011100011001100100
321010100212211
432130121210
51432130330
6213053204
744116615
oct16343144
97110784
103786340
112156808
121327204
13a2754c
14707c0c
154ebd2a
hex39c664

3786340 has 36 divisors (see below), whose sum is σ = 8257788. Its totient is φ = 1458240.

The previous prime is 3786337. The next prime is 3786347. The reversal of 3786340 is 436873.

3786340 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 2802276 + 984064 = 1674^2 + 992^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786347) 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, 19122 + ... + 19318.

It is an arithmetic number, because the mean of its divisors is an integer number (229383).

Almost surely, 23786340 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 3786340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128894).

3786340 is an abundant number, since it is smaller than the sum of its proper divisors (4471448).

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

3786340 is a wasteful number, since it uses less digits than its factorization.

3786340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3786340 is about 1945.8519984829. The cubic root of 3786340 is about 155.8618654484.

The spelling of 3786340 in words is "three million, seven hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 197 310 394 620 788 961 985 1922 1970 3844 3940 4805 6107 9610 12214 19220 24428 30535 61070 122140 189317 378634 757268 946585 1893170 3786340