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3842412 = 2237149307
BaseRepresentation
bin1110101010000101101100
321020012210120
432222011230
51440424122
6214204540
744442240
oct16520554
97205716
103842412
112194952
121353750
13a46c22
14720420
1550d75c
hex3aa16c

3842412 has 48 divisors (see below), whose sum is σ = 10348800. Its totient is φ = 1086912.

The previous prime is 3842411. The next prime is 3842431. The reversal of 3842412 is 2142483.

3842412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842411) 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 15 ways as a sum of consecutive naturals, for example, 12363 + ... + 12669.

It is an arithmetic number, because the mean of its divisors is an integer number (215600).

Almost surely, 23842412 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 3842412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174400).

3842412 is an abundant number, since it is smaller than the sum of its proper divisors (6506388).

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

3842412 is a wasteful number, since it uses less digits than its factorization.

3842412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3842412 is about 1960.2071319123. The cubic root of 3842412 is about 156.6274858009.

Adding to 3842412 its reverse (2142483), we get a palindrome (5984895).

The spelling of 3842412 in words is "three million, eight hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 307 447 596 614 894 921 1043 1228 1788 1842 2086 2149 3129 3684 4172 4298 6258 6447 8596 12516 12894 25788 45743 91486 137229 182972 274458 320201 548916 640402 960603 1280804 1921206 3842412