Search a number
-
+
334255116 = 223132638147
BaseRepresentation
bin10011111011000…
…101010000001100
3212021221220211010
4103323011100030
51141032130431
653100125220
711166056466
oct2373052014
9767856733
10334255116
111617508a8
1293b36810
13543327c0
143256d136
151e528846
hex13ec540c

334255116 has 48 divisors (see below), whose sum is σ = 843220224. Its totient is φ = 102444096.

The previous prime is 334255111. The next prime is 334255121. The reversal of 334255116 is 611552433.

It is an interprime number because it is at equal distance from previous prime (334255111) and next prime (334255121).

It is a super-2 number, since 2×3342551162 = 223452965144346912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334255111) 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, 36955 + ... + 45101.

It is an arithmetic number, because the mean of its divisors is an integer number (17567088).

Almost surely, 2334255116 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 334255116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421610112).

334255116 is an abundant number, since it is smaller than the sum of its proper divisors (508965108).

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

334255116 is a wasteful number, since it uses less digits than its factorization.

334255116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8428 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 334255116 is about 18282.6452134258. The cubic root of 334255116 is about 693.9998145210. Note that the first 3 decimals are identical.

The spelling of 334255116 in words is "three hundred thirty-four million, two hundred fifty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 263 526 789 1052 1578 3156 3419 6838 8147 10257 13676 16294 20514 24441 32588 41028 48882 97764 105911 211822 317733 423644 635466 1270932 2142661 4285322 6427983 8570644 12855966 25711932 27854593 55709186 83563779 111418372 167127558 334255116