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34457801341 is a prime number
BaseRepresentation
bin100000000101110110…
…000101001001111101
310021221102102200012111
4200011312011021331
51031032144120331
623455114134021
72326616323135
oct400566051175
9107842380174
1034457801341
1113682592177
126817a21311
133331ab5382
14194c4cbac5
15d6a17ddb1
hex805d8527d

34457801341 has 2 divisors, whose sum is σ = 34457801342. Its totient is φ = 34457801340.

The previous prime is 34457801317. The next prime is 34457801387. The reversal of 34457801341 is 14310875443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32958950116 + 1498851225 = 181546^2 + 38715^2 .

It is a cyclic number.

It is not a de Polignac number, because 34457801341 - 229 = 33920930429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34457801294 and 34457801303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34457801941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17228900670 + 17228900671.

It is an arithmetic number, because the mean of its divisors is an integer number (17228900671).

Almost surely, 234457801341 is an apocalyptic number.

It is an amenable number.

34457801341 is a deficient number, since it is larger than the sum of its proper divisors (1).

34457801341 is an equidigital number, since it uses as much as digits as its factorization.

34457801341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 34457801341 in words is "thirty-four billion, four hundred fifty-seven million, eight hundred one thousand, three hundred forty-one".