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3388112 = 247132179
BaseRepresentation
bin1100111011001011010000
320101010121122
430323023100
51331404422
6200341412
740540610
oct14731320
96333548
103388112
111a045a2
121174868
13918200
14642a40
1546dd42
hex33b2d0

3388112 has 60 divisors (see below), whose sum is σ = 8169120. Its totient is φ = 1332864.

The previous prime is 3388109. The next prime is 3388169. The reversal of 3388112 is 2118833.

3388112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33881122 = 22958605849088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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, 18839 + ... + 19017.

It is an arithmetic number, because the mean of its divisors is an integer number (136152).

Almost surely, 23388112 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 3388112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084560).

3388112 is an abundant number, since it is smaller than the sum of its proper divisors (4781008).

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

3388112 is a wasteful number, since it uses less digits than its factorization.

3388112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 3388112 is about 1840.6824821245. The cubic root of 3388112 is about 150.1940008349.

It can be divided in two parts, 3388 and 112, that multiplied together give a square (379456 = 6162).

The spelling of 3388112 in words is "three million, three hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 179 182 208 338 358 364 676 716 728 1183 1253 1352 1432 1456 2327 2366 2506 2704 2864 4654 4732 5012 9308 9464 10024 16289 18616 18928 20048 30251 32578 37232 60502 65156 121004 130312 211757 242008 260624 423514 484016 847028 1694056 3388112