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335216 = 2474173
BaseRepresentation
bin1010001110101110000
3122000211102
41101311300
541211331
611103532
72564210
oct1216560
9560742
10335216
11209942
12141ba8
13b976b
148a240
15694cb
hex51d70

335216 has 40 divisors (see below), whose sum is σ = 770784. Its totient is φ = 138240.

The previous prime is 335213. The next prime is 335221. The reversal of 335216 is 612533.

335216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3352162 = 224739533312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4556 + ... + 4628.

2335216 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 335216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385392).

335216 is an abundant number, since it is smaller than the sum of its proper divisors (435568).

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

335216 is a wasteful number, since it uses less digits than its factorization.

335216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 335216 is about 578.9784106510. The cubic root of 335216 is about 69.4664192619.

Adding to 335216 its reverse (612533), we get a palindrome (947749).

The spelling of 335216 in words is "three hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 56 73 82 112 146 164 287 292 328 511 574 584 656 1022 1148 1168 2044 2296 2993 4088 4592 5986 8176 11972 20951 23944 41902 47888 83804 167608 335216