Search a number
-
+
348304110431 is a prime number
BaseRepresentation
bin1010001000110001000…
…10101111001101011111
31020022000220122002020012
411010120202233031133
521201311323013211
6424001513513435
734110205042544
oct5043042571537
91208026562205
10348304110431
11124795654422
125760641287b
1326aca430c84
1412c0253abcb
1590d8212d8b
hex51188af35f

348304110431 has 2 divisors, whose sum is σ = 348304110432. Its totient is φ = 348304110430.

The previous prime is 348304110421. The next prime is 348304110433. The reversal of 348304110431 is 134011403843.

It is a strong prime.

It is an emirp because it is prime and its reverse (134011403843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 348304110431 - 230 = 347230368607 is a prime.

It is a super-3 number, since 3×3483041104313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 348304110433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (348304110433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174152055215 + 174152055216.

It is an arithmetic number, because the mean of its divisors is an integer number (174152055216).

Almost surely, 2348304110431 is an apocalyptic number.

348304110431 is a deficient number, since it is larger than the sum of its proper divisors (1).

348304110431 is an equidigital number, since it uses as much as digits as its factorization.

348304110431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 348304110431 in words is "three hundred forty-eight billion, three hundred four million, one hundred ten thousand, four hundred thirty-one".