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414440309 is a prime number
BaseRepresentation
bin11000101100111…
…101101101110101
31001212211202020002
4120230331231311
51322044042214
6105042521045
713161453533
oct3054755565
91055752202
10414440309
111a2a39158
12b6966185
1367b2926a
143d083153
15265b71de
hex18b3db75

414440309 has 2 divisors, whose sum is σ = 414440310. Its totient is φ = 414440308.

The previous prime is 414440291. The next prime is 414440353. The reversal of 414440309 is 903044414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413919025 + 521284 = 20345^2 + 722^2 .

It is a cyclic number.

It is not a de Polignac number, because 414440309 - 228 = 146004853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414440809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207220154 + 207220155.

It is an arithmetic number, because the mean of its divisors is an integer number (207220155).

Almost surely, 2414440309 is an apocalyptic number.

It is an amenable number.

414440309 is a deficient number, since it is larger than the sum of its proper divisors (1).

414440309 is an equidigital number, since it uses as much as digits as its factorization.

414440309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 414440309 is about 20357.8070773843. The cubic root of 414440309 is about 745.5681200230.

The spelling of 414440309 in words is "four hundred fourteen million, four hundred forty thousand, three hundred nine".