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314112 = 283409
BaseRepresentation
bin1001100101100000000
3120221212210
41030230000
540022422
610422120
72445531
oct1145400
9527783
10314112
111a4aa7
12131940
13acc86
1482688
156310c
hex4cb00

314112 has 36 divisors (see below), whose sum is σ = 838040. Its totient is φ = 104448.

The previous prime is 314107. The next prime is 314113. The reversal of 314112 is 211413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 not an unprimeable number, because it can be changed into a prime (314113) by changing a digit.

314112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 564 + ... + 972.

2314112 is an apocalyptic number.

314112 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 314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419020).

314112 is an abundant number, since it is smaller than the sum of its proper divisors (523928).

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

314112 is an equidigital number, since it uses as much as digits as its factorization.

314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 314112 is about 560.4569564204. The cubic root of 314112 is about 67.9769241193.

Adding to 314112 its reverse (211413), we get a palindrome (525525).

It can be divided in two parts, 31411 and 2, that added together give a palindrome (31413).

The spelling of 314112 in words is "three hundred fourteen thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 409 768 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 26176 39264 52352 78528 104704 157056 314112