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3836340 = 2232521313
BaseRepresentation
bin1110101000100110110100
321012220110200
432220212310
51440230330
6214120500
744415444
oct16504664
97186420
103836340
112190332
121350130
13a44231
1471c124
1550ba60
hex3a89b4

3836340 has 36 divisors (see below), whose sum is σ = 11637444. Its totient is φ = 1022976.

The previous prime is 3836321. The next prime is 3836341. The reversal of 3836340 is 436383.

3836340 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 1192464 + 2643876 = 1092^2 + 1626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836341) 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, 10477 + ... + 10836.

Almost surely, 23836340 is an apocalyptic number.

3836340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3836340 is an abundant number, since it is smaller than the sum of its proper divisors (7801104).

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

3836340 is a wasteful number, since it uses less digits than its factorization.

3836340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21328 (or 21323 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3836340 is about 1958.6577036328. The cubic root of 3836340 is about 156.5449383890.

The spelling of 3836340 in words is "three million, eight hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21313 42626 63939 85252 106565 127878 191817 213130 255756 319695 383634 426260 639390 767268 959085 1278780 1918170 3836340