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335296 = 2613231
BaseRepresentation
bin1010001110111000000
3122000221101
41101313000
541212141
611104144
72564353
oct1216700
9560841
10335296
11209a05
12142054
13b9800
148a29a
1569531
hex51dc0

335296 has 42 divisors (see below), whose sum is σ = 743712. Its totient is φ = 149760.

The previous prime is 335281. The next prime is 335299. The reversal of 335296 is 692533.

335296 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 2×3352962 = 224846815232, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335299) by changing a digit.

335296 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 5 ways as a sum of consecutive naturals, for example, 10801 + ... + 10831.

2335296 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 335296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371856).

335296 is an abundant number, since it is smaller than the sum of its proper divisors (408416).

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

335296 is a wasteful number, since it uses less digits than its factorization.

335296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its digits is 4860, while the sum is 28.

The square root of 335296 is about 579.0474937343. The cubic root of 335296 is about 69.4719449245.

It can be divided in two parts, 33 and 5296, that added together give a square (5329 = 732).

The spelling of 335296 in words is "three hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 169 208 248 338 403 416 496 676 806 832 992 1352 1612 1984 2704 3224 5239 5408 6448 10478 10816 12896 20956 25792 41912 83824 167648 335296