Search a number
-
+
322423401342 = 23723312347317
BaseRepresentation
bin1001011000100011110…
…11101010101101111110
31010211020020111211200010
410230101323222231332
520240310342320332
6404041432244050
732202644456310
oct4542173525576
91124206454603
10322423401342
11114814671649
12525a2b40626
13245345c6823
14118692197b0
1585c10749cc
hex4b11eeab7e

322423401342 has 96 divisors (see below), whose sum is σ = 794619127296. Its totient is φ = 85273024320.

The previous prime is 322423401341. The next prime is 322423401347. The reversal of 322423401342 is 243104324223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322423401341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754668 + ... + 1101984.

It is an arithmetic number, because the mean of its divisors is an integer number (8277282576).

Almost surely, 2322423401342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322423401342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397309563648).

322423401342 is an abundant number, since it is smaller than the sum of its proper divisors (472195725954).

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

322423401342 is a wasteful number, since it uses less digits than its factorization.

322423401342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347414 (or 347383 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 322423401342 its reverse (243104324223), we get a palindrome (565527725565).

The spelling of 322423401342 in words is "three hundred twenty-two billion, four hundred twenty-three million, four hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 322 434 483 651 713 961 966 1302 1426 1922 2139 2883 4278 4991 5766 6727 9982 13454 14973 20181 22103 29946 40362 44206 66309 132618 154721 309442 347317 464163 694634 928326 1041951 2083902 2431219 4862438 7293657 7988291 10766827 14587314 15976582 21533654 23964873 32300481 47929746 55918037 64600962 75367789 111836074 150735578 167754111 226103367 247637021 333771637 335508222 452206734 495274042 667543274 742911063 1001314911 1485822126 1733459147 2002629822 2336401459 3466918294 4672802918 5200377441 7009204377 7676747651 10400754882 14018408754 15353495302 23030242953 46060485906 53737233557 107474467114 161211700671 322423401342