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414354461 is a prime number
BaseRepresentation
bin11000101100101…
…000110000011101
31001212200101110112
4120230220300131
51322033320321
6105041015405
713160645333
oct3054506035
91055611415
10414354461
111a298a704
12b6924565
1367ac9171
143d05db53
152659ba5b
hex18b28c1d

414354461 has 2 divisors, whose sum is σ = 414354462. Its totient is φ = 414354460.

The previous prime is 414354449. The next prime is 414354511. The reversal of 414354461 is 164453414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 329604025 + 84750436 = 18155^2 + 9206^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414354461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414344461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207177230 + 207177231.

It is an arithmetic number, because the mean of its divisors is an integer number (207177231).

Almost surely, 2414354461 is an apocalyptic number.

It is an amenable number.

414354461 is a deficient number, since it is larger than the sum of its proper divisors (1).

414354461 is an equidigital number, since it uses as much as digits as its factorization.

414354461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 32.

The square root of 414354461 is about 20355.6984896122. The cubic root of 414354461 is about 745.5166369742.

The spelling of 414354461 in words is "four hundred fourteen million, three hundred fifty-four thousand, four hundred sixty-one".