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334016 = 2617307
BaseRepresentation
bin1010001100011000000
3121222011222
41101203000
541142031
611054212
72560544
oct1214300
9558158
10334016
11208a51
12141368
13b9057
1489a24
1568e7b
hex518c0

334016 has 28 divisors (see below), whose sum is σ = 704088. Its totient is φ = 156672.

The previous prime is 333997. The next prime is 334021. The reversal of 334016 is 610433.

334016 = T88 + T89 + ... + T138.

It is a super-2 number, since 2×3340162 = 223133376512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 333985 and 334003.

It is an unprimeable number.

334016 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, 935 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (25146).

2334016 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 334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352044).

334016 is an abundant number, since it is smaller than the sum of its proper divisors (370072).

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

334016 is a wasteful number, since it uses less digits than its factorization.

334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 334016 is about 577.9411734770. The cubic root of 334016 is about 69.3834286218.

Adding to 334016 its reverse (610433), we get a palindrome (944449).

The spelling of 334016 in words is "three hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 307 544 614 1088 1228 2456 4912 5219 9824 10438 19648 20876 41752 83504 167008 334016