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334112 = 2553197
BaseRepresentation
bin1010001100100100000
3121222022112
41101210200
541142422
611054452
72561042
oct1214440
9558275
10334112
11209029
12141428
13b90cc
1489a92
1568ee2
hex51920

334112 has 24 divisors (see below), whose sum is σ = 673596. Its totient is φ = 163072.

The previous prime is 334099. The next prime is 334127. The reversal of 334112 is 211433.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 59536 = 524^2 + 244^2 .

It is a super-2 number, since 2×3341122 = 223261657088, which contains 22 as substring.

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, 1598 + ... + 1794.

2334112 is an apocalyptic number.

334112 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 334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336798).

334112 is an abundant number, since it is smaller than the sum of its proper divisors (339484).

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

334112 is a wasteful number, since it uses less digits than its factorization.

334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 334112 is about 578.0242209458. The cubic root of 334112 is about 69.3900751808.

Adding to 334112 its reverse (211433), we get a palindrome (545545).

The spelling of 334112 in words is "three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 106 197 212 394 424 788 848 1576 1696 3152 6304 10441 20882 41764 83528 167056 334112