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2348112 = 243135371
BaseRepresentation
bin1000111101010001010000
311102022000010
420331101100
51100114422
6122154520
725646544
oct10752120
94368003
102348112
111364198
12952a40
13642a20
14451a24
15315b0c
hex23d450

2348112 has 80 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 698880.

The previous prime is 2348089. The next prime is 2348119. The reversal of 2348112 is 2118432.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348119) 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, 33037 + ... + 33107.

22348112 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 2348112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2348112 is an abundant number, since it is smaller than the sum of its proper divisors (4401456).

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

2348112 is a wasteful number, since it uses less digits than its factorization.

2348112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

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

The square root of 2348112 is about 1532.3550502413. The cubic root of 2348112 is about 132.9146757082.

The spelling of 2348112 in words is "two million, three hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 71 78 104 106 142 156 159 208 212 213 284 312 318 424 426 568 624 636 689 848 852 923 1136 1272 1378 1704 1846 2067 2544 2756 2769 3408 3692 3763 4134 5512 5538 7384 7526 8268 11024 11076 11289 14768 15052 16536 22152 22578 30104 33072 44304 45156 48919 60208 90312 97838 146757 180624 195676 293514 391352 587028 782704 1174056 2348112