Search a number
-
+
335329280 = 21151113229
BaseRepresentation
bin10011111111001…
…011100000000000
3212100222111021222
4103333023200000
51141321014110
653135134212
711211152246
oct2377134000
9770874258
10335329280
11162314940
1294374368
135461a6c0
143276c796
151e68bc55
hex13fcb800

335329280 has 192 divisors, whose sum is σ = 949384800. Its totient is φ = 112066560.

The previous prime is 335329279. The next prime is 335329289. The reversal of 335329280 is 82923533.

It is a super-2 number, since 2×3353292802 = 224891452050636800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335329280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335329289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464206 + ... + 1464434.

Almost surely, 2335329280 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 335329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474692400).

335329280 is an abundant number, since it is smaller than the sum of its proper divisors (614055520).

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

335329280 is a wasteful number, since it uses less digits than its factorization.

335329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 335329280 is about 18311.9982525119. The cubic root of 335329280 is about 694.7424334124.

The spelling of 335329280 in words is "three hundred thirty-five million, three hundred twenty-nine thousand, two hundred eighty".