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3200112 = 243271313
BaseRepresentation
bin1100001101010001110000
320000120201200
430031101300
51304400422
6152331200
736125526
oct14152160
96016650
103200112
111896323
1210a3b00
13880776
145d4316
154332ac
hex30d470

3200112 has 60 divisors (see below), whose sum is σ = 9111024. Its totient is φ = 1048320.

The previous prime is 3200111. The next prime is 3200117. The reversal of 3200112 is 2110023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3200094 and 3200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10068 + ... + 10380.

Almost surely, 23200112 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 3200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555512).

3200112 is an abundant number, since it is smaller than the sum of its proper divisors (5910912).

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

3200112 is a wasteful number, since it uses less digits than its factorization.

3200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3200112 is about 1788.8856866776. The cubic root of 3200112 is about 147.3629791403.

Adding to 3200112 its reverse (2110023), we get a palindrome (5310135).

The spelling of 3200112 in words is "three million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 313 426 568 626 639 852 939 1136 1252 1278 1704 1878 2504 2556 2817 3408 3756 5008 5112 5634 7512 10224 11268 15024 22223 22536 44446 45072 66669 88892 133338 177784 200007 266676 355568 400014 533352 800028 1066704 1600056 3200112