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3830112 = 2533111331
BaseRepresentation
bin1110100111000101100000
321012120221000
432213011200
51440030422
6214032000
744361336
oct16470540
97176830
103830112
112186690
121348600
13a41450
14719b56
15509cac
hex3a7160

3830112 has 192 divisors, whose sum is σ = 13547520. Its totient is φ = 1036800.

The previous prime is 3830111. The next prime is 3830119. The reversal of 3830112 is 2110383.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123537 + ... + 123567.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

Almost surely, 23830112 is an apocalyptic number.

3830112 is a gapful number since it is divisible by the number (32) 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 3830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

3830112 is an abundant number, since it is smaller than the sum of its proper divisors (9717408).

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

3830112 is a wasteful number, since it uses less digits than its factorization.

3830112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3830112 is about 1957.0671935322. The cubic root of 3830112 is about 156.4601796568.

Adding to 3830112 its reverse (2110383), we get a palindrome (5940495).

The spelling of 3830112 in words is "three million, eight hundred thirty thousand, one hundred twelve".