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335112 = 23313963
BaseRepresentation
bin1010001110100001000
3122000200120
41101310020
541210422
611103240
72564001
oct1216410
9560616
10335112
11209858
12141b20
13b96bb
148a1a8
156945c
hex51d08

335112 has 16 divisors (see below), whose sum is σ = 837840. Its totient is φ = 111696.

The previous prime is 335107. The next prime is 335113. The reversal of 335112 is 211533.

It is a happy number.

335112 is nontrivially palindromic in base 14.

It is a super-2 number, since 2×3351122 = 224600105088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335091 and 335100.

It is not an unprimeable number, because it can be changed into a prime (335113) by changing a digit.

335112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6958 + ... + 7005.

It is an arithmetic number, because the mean of its divisors is an integer number (52365).

2335112 is an apocalyptic number.

It is an amenable number.

335112 is an abundant number, since it is smaller than the sum of its proper divisors (502728).

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

335112 is a wasteful number, since it uses less digits than its factorization.

335112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13972 (or 13968 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 335112 is about 578.8885903177. Note that the first 3 decimals coincide. The cubic root of 335112 is about 69.4592345861.

Adding to 335112 its reverse (211533), we get a palindrome (546645).

The spelling of 335112 in words is "three hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 13963 27926 41889 55852 83778 111704 167556 335112