Search a number
-
+
341235840 = 273511107151
BaseRepresentation
bin10100010101101…
…101100010000000
3212210002120120110
4110111231202000
51144324021330
653505511320
711312312451
oct2425554200
9783076513
10341235840
111656895a0
1296342540
1355907cca
1433469128
151ee56db0
hex1456d880

341235840 has 256 divisors, whose sum is σ = 1205591040. Its totient is φ = 81408000.

The previous prime is 341235833. The next prime is 341235841. The reversal of 341235840 is 48532143.

341235840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 341235798 and 341235807.

It is not an unprimeable number, because it can be changed into a prime (341235841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2259765 + ... + 2259915.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2341235840 is an apocalyptic number.

341235840 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 341235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602795520).

341235840 is an abundant number, since it is smaller than the sum of its proper divisors (864355200).

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

341235840 is a wasteful number, since it uses less digits than its factorization.

341235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 341235840 is about 18472.5699349062. The cubic root of 341235840 is about 698.7978277410.

Adding to 341235840 its reverse (48532143), we get a palindrome (389767983).

The spelling of 341235840 in words is "three hundred forty-one million, two hundred thirty-five thousand, eight hundred forty".