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3290112 = 21033717
BaseRepresentation
bin1100100011010000000000
320012011012000
430203100000
51320240422
6154304000
736652110
oct14432000
96164160
103290112
111947a01
121128000
138b2717
14619040
1544ecac
hex323400

3290112 has 176 divisors, whose sum is σ = 11790720. Its totient is φ = 884736.

The previous prime is 3290107. The next prime is 3290117. The reversal of 3290112 is 2110923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3290107) and next prime (3290117).

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 (3290117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193528 + ... + 193544.

Almost surely, 23290112 is an apocalyptic number.

3290112 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 3290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895360).

3290112 is an abundant number, since it is smaller than the sum of its proper divisors (8500608).

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

3290112 is a wasteful number, since it uses less digits than its factorization.

3290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3290112 is about 1813.8665882584. The cubic root of 3290112 is about 148.7317064338.

The spelling of 3290112 in words is "three million, two hundred ninety thousand, one hundred twelve".