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34084458461 is a prime number
BaseRepresentation
bin11111101111100101…
…111000111111011101
310020222101220220001102
4133233211320333131
51024301110132321
623354100122445
72314434055004
oct375745707735
9106871826042
1034084458461
1113500874139
126732996425
1332a2648321
141914aa5c3b
15d474d3c0b
hex7ef978fdd

34084458461 has 2 divisors, whose sum is σ = 34084458462. Its totient is φ = 34084458460.

The previous prime is 34084458449. The next prime is 34084458493. The reversal of 34084458461 is 16485448043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33652068025 + 432390436 = 183445^2 + 20794^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34084458461 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34084458361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17042229230 + 17042229231.

It is an arithmetic number, because the mean of its divisors is an integer number (17042229231).

Almost surely, 234084458461 is an apocalyptic number.

It is an amenable number.

34084458461 is a deficient number, since it is larger than the sum of its proper divisors (1).

34084458461 is an equidigital number, since it uses as much as digits as its factorization.

34084458461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1474560, while the sum is 47.

The spelling of 34084458461 in words is "thirty-four billion, eighty-four million, four hundred fifty-eight thousand, four hundred sixty-one".