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3482112 = 2932267
BaseRepresentation
bin1101010010001000000000
320112220120010
431102020000
51342411422
6202344520
741411634
oct15221000
96486503
103482112
111a69187
1211bb140
1394bc2a
14668dc4
1548bb0c
hex352200

3482112 has 40 divisors (see below), whose sum is σ = 9280656. Its totient is φ = 1160192.

The previous prime is 3482077. The next prime is 3482147. The reversal of 3482112 is 2112843.

It is an interprime number because it is at equal distance from previous prime (3482077) and next prime (3482147).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 403 + ... + 2669.

Almost surely, 23482112 is an apocalyptic number.

3482112 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 3482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640328).

3482112 is an abundant number, since it is smaller than the sum of its proper divisors (5798544).

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

3482112 is an equidigital number, since it uses as much as digits as its factorization.

3482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2272 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 3482112 is about 1866.0418001749. The cubic root of 3482112 is about 151.5703471404.

Adding to 3482112 its reverse (2112843), we get a palindrome (5594955).

The spelling of 3482112 in words is "three million, four hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2267 4534 6801 9068 13602 18136 27204 36272 54408 72544 108816 145088 217632 290176 435264 580352 870528 1160704 1741056 3482112