Search a number
-
+
340333422 = 231113795021
BaseRepresentation
bin10100010010010…
…001001101101110
3212201101201200120
4110102101031232
51144111132142
653434305410
711301533502
oct2422211556
9781351616
10340333422
111651225a0
1295b88266
1355680330
14332b2302
151ed297ec
hex1449136e

340333422 has 64 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 93974400.

The previous prime is 340333403. The next prime is 340333429. The reversal of 340333422 is 224333043.

340333422 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 340333392 and 340333401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340333429) 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 31 ways as a sum of consecutive naturals, for example, 65272 + ... + 70292.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 2340333422 is an apocalyptic number.

340333422 is the 15063-rd pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340333422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

340333422 is an abundant number, since it is smaller than the sum of its proper divisors (469614738).

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

340333422 is a wasteful number, since it uses less digits than its factorization.

340333422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129.

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 340333422 is about 18448.1278724970. The cubic root of 340333422 is about 698.1812801072.

Adding to 340333422 its reverse (224333043), we get a palindrome (564666465).

The spelling of 340333422 in words is "three hundred forty million, three hundred thirty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 237 286 429 474 858 869 1027 1738 2054 2607 3081 5021 5214 6162 10042 11297 15063 22594 30126 33891 55231 65273 67782 110462 130546 165693 195819 331386 391638 396659 718003 793318 1189977 1436006 2154009 2379954 4308018 4363249 5156567 8726498 10313134 13089747 15469701 26179494 30939402 56722237 113444474 170166711 340333422