Search a number
-
+
335280 = 243511127
BaseRepresentation
bin1010001110110110000
3122000220210
41101312300
541212110
611104120
72564331
oct1216660
9560823
10335280
112099a0
12142040
13b97ba
148a288
1569520
hex51db0

335280 has 80 divisors (see below), whose sum is σ = 1142784. Its totient is φ = 80640.

The previous prime is 335273. The next prime is 335281. The reversal of 335280 is 82533.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3352802 = 224825356800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335281) by changing a digit.

335280 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 15 ways as a sum of consecutive naturals, for example, 2577 + ... + 2703.

2335280 is an apocalyptic number.

335280 is a gapful number since it is divisible by the number (30) 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 335280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571392).

335280 is an abundant number, since it is smaller than the sum of its proper divisors (807504).

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

335280 is a wasteful number, since it uses less digits than its factorization.

335280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 335280 is about 579.0336777770. The cubic root of 335280 is about 69.4708398623.

The spelling of 335280 in words is "three hundred thirty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 127 132 165 176 220 240 254 264 330 381 440 508 528 635 660 762 880 1016 1270 1320 1397 1524 1905 2032 2540 2640 2794 3048 3810 4191 5080 5588 6096 6985 7620 8382 10160 11176 13970 15240 16764 20955 22352 27940 30480 33528 41910 55880 67056 83820 111760 167640 335280