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323440340340401 is a prime number
BaseRepresentation
bin100100110001010101101001…
…0100101111000111010110001
31120102012121001102201100201022
41021202223102211320322301
5314343221304111343101
63103522235135345225
7125061536103064004
oct11142532245707261
91512177042640638
10323440340340401
1194070307060429
1230338aa3682215
1310b623a728c88b
1459c284b5d153b
15275d65b145a1b
hex1262ad2978eb1

323440340340401 has 2 divisors, whose sum is σ = 323440340340402. Its totient is φ = 323440340340400.

The previous prime is 323440340340373. The next prime is 323440340340487. The reversal of 323440340340401 is 104043043044323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 315642836995600 + 7797503344801 = 17766340^2 + 2792401^2 .

It is a cyclic number.

It is not a de Polignac number, because 323440340340401 - 210 = 323440340339377 is a prime.

It is a super-2 number, since 2×3234403403404012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (323440340340101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161720170170200 + 161720170170201.

It is an arithmetic number, because the mean of its divisors is an integer number (161720170170201).

Almost surely, 2323440340340401 is an apocalyptic number.

It is an amenable number.

323440340340401 is a deficient number, since it is larger than the sum of its proper divisors (1).

323440340340401 is an equidigital number, since it uses as much as digits as its factorization.

323440340340401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 323440340340401 its reverse (104043043044323), we get a palindrome (427483383384724).

The spelling of 323440340340401 in words is "three hundred twenty-three trillion, four hundred forty billion, three hundred forty million, three hundred forty thousand, four hundred one".