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2400434249 is a prime number
BaseRepresentation
bin1000111100010011…
…1011100001001001
320012021211200202012
42033010323201021
514404002343444
61034105345305
7113325232403
oct21704734111
96167750665
102400434249
111021a89864
1256ba98235
132c340b4c5
1418ab33b73
15e0b0eb9e
hex8f13b849

2400434249 has 2 divisors, whose sum is σ = 2400434250. Its totient is φ = 2400434248.

The previous prime is 2400434203. The next prime is 2400434251. The reversal of 2400434249 is 9424340042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1607448649 + 792985600 = 40093^2 + 28160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2400434249 is a prime.

Together with 2400434251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2400436249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200217124 + 1200217125.

It is an arithmetic number, because the mean of its divisors is an integer number (1200217125).

Almost surely, 22400434249 is an apocalyptic number.

It is an amenable number.

2400434249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400434249 is an equidigital number, since it uses as much as digits as its factorization.

2400434249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2400434249 is about 48994.2266904990. The cubic root of 2400434249 is about 1338.9466454582.

The spelling of 2400434249 in words is "two billion, four hundred million, four hundred thirty-four thousand, two hundred forty-nine".