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344024420443 = 1141762803593
BaseRepresentation
bin1010000000110010111…
…01000001000001011011
31012212222122122022020121
411000121131001001123
521114030222423233
6422013113134111
733566150216344
oct5003135010133
91185878568217
10344024420443
111229998a8a50
12568110ba337
13265978a3032
1412917dbd0cb
158e3764192d
hex501974105b

344024420443 has 8 divisors (see below), whose sum is σ = 384453011376. Its totient is φ = 305121436800.

The previous prime is 344024420407. The next prime is 344024420497.

344024420443 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344024420443 is a prime.

It is a super-2 number, since 2×3440244204432 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344024420399 and 344024420408.

It is not an unprimeable number, because it can be changed into a prime (344024426443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381401346 + ... + 381402247.

It is an arithmetic number, because the mean of its divisors is an integer number (48056626422).

Almost surely, 2344024420443 is an apocalyptic number.

344024420443 is a deficient number, since it is larger than the sum of its proper divisors (40428590933).

344024420443 is a wasteful number, since it uses less digits than its factorization.

344024420443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762803645.

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 344024 and 420443, that added together give a palindrome (764467).

The spelling of 344024420443 in words is "three hundred forty-four billion, twenty-four million, four hundred twenty thousand, four hundred forty-three".

Divisors: 1 11 41 451 762803593 8390839523 31274947313 344024420443