Search a number
-
+
334330220 = 225719112503
BaseRepresentation
bin10011111011010…
…111100101101100
3212022002201211202
4103323113211230
51141042031340
653101505032
711166521450
oct2373274554
9768081752
10334330220
111617a2274
1293b72178
135435aa43
143258c660
151e540c15
hex13ed796c

334330220 has 48 divisors (see below), whose sum is σ = 806658048. Its totient is φ = 114018240.

The previous prime is 334330193. The next prime is 334330237. The reversal of 334330220 is 22033433.

It is a super-2 number, since 2×3343302202 = 223553392010496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 334330192 and 334330201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20489 + ... + 32991.

It is an arithmetic number, because the mean of its divisors is an integer number (16805376).

Almost surely, 2334330220 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 334330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403329024).

334330220 is an abundant number, since it is smaller than the sum of its proper divisors (472327828).

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

334330220 is a wasteful number, since it uses less digits than its factorization.

334330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12710 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 334330220 is about 18284.6990677998. The cubic root of 334330220 is about 694.0517890521.

Adding to 334330220 its reverse (22033433), we get a palindrome (356363653).

The spelling of 334330220 in words is "three hundred thirty-four million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 12503 13370 25006 26740 50012 62515 87521 125030 175042 250060 350084 437605 875210 1750420 2388073 4776146 9552292 11940365 16716511 23880730 33433022 47761460 66866044 83582555 167165110 334330220