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2400034031 is a prime number
BaseRepresentation
bin1000111100001101…
…1001110011101111
320012021002100202022
42033003121303233
514403402042111
61034053020355
7113321644523
oct21703316357
96167070668
102400034031
1110218360aa
1256b9246bb
132c32cb2a5
1418aa6bd83
15e0a812db
hex8f0d9cef

2400034031 has 2 divisors, whose sum is σ = 2400034032. Its totient is φ = 2400034030.

The previous prime is 2400034019. The next prime is 2400034051. The reversal of 2400034031 is 1304300042.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2400034031 is a prime.

It is a super-2 number, since 2×24000340312 = 11520326699916217922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400034051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200017015 + 1200017016.

It is an arithmetic number, because the mean of its divisors is an integer number (1200017016).

Almost surely, 22400034031 is an apocalyptic number.

2400034031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400034031 is an equidigital number, since it uses as much as digits as its factorization.

2400034031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2400034031 is about 48990.1421818717. The cubic root of 2400034031 is about 1338.8722283213.

Adding to 2400034031 its reverse (1304300042), we get a palindrome (3704334073).

The spelling of 2400034031 in words is "two billion, four hundred million, thirty-four thousand, thirty-one".