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343330263342 = 23211232941163389
BaseRepresentation
bin1001111111100000001…
…01000001000100101110
31012211012021110110201100
410333300011001010232
521111120021411332
6421420155023530
733543021041613
oct4776005010456
91184167413640
10343330263342
11122672a8a4a0
125665873aba6
13264b6b2b2a1
141288db2650a
158de672567c
hex4ff014112e

343330263342 has 384 divisors, whose sum is σ = 905182387200. Its totient is φ = 92926310400.

The previous prime is 343330263337. The next prime is 343330263343. The reversal of 343330263342 is 243362033343.

It is a happy number.

343330263342 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 302 + 6 + 3 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 343330263297 and 343330263306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343330263343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 882596884 + ... + 882597272.

It is an arithmetic number, because the mean of its divisors is an integer number (2357245800).

Almost surely, 2343330263342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343330263342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452591193600).

343330263342 is an abundant number, since it is smaller than the sum of its proper divisors (561852123858).

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

343330263342 is a wasteful number, since it uses less digits than its factorization.

343330263342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 343330263342 its reverse (243362033343), we get a palindrome (586692296685).

The spelling of 343330263342 in words is "three hundred forty-three billion, three hundred thirty million, two hundred sixty-three thousand, three hundred forty-two".