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2400434313 = 329191314423
BaseRepresentation
bin1000111100010011…
…1011100010001001
320012021211200211120
42033010323202021
514404002344223
61034105345453
7113325232524
oct21704734211
96167750746
102400434313
111021a89912
1256ba98289
132c340b544
1418ab33bbb
15e0b0ebe3
hex8f13b889

2400434313 has 16 divisors (see below), whose sum is σ = 3312904320. Its totient is φ = 1544192384.

The previous prime is 2400434303. The next prime is 2400434317. The reversal of 2400434313 is 3134340042.

It is a cyclic number.

It is not a de Polignac number, because 2400434313 - 26 = 2400434249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2400434317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159220 + ... + 173642.

It is an arithmetic number, because the mean of its divisors is an integer number (207056520).

Almost surely, 22400434313 is an apocalyptic number.

It is an amenable number.

2400434313 is a deficient number, since it is larger than the sum of its proper divisors (912470007).

2400434313 is a wasteful number, since it uses less digits than its factorization.

2400434313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16368.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2400434313 is about 48994.2273436371. The cubic root of 2400434313 is about 1338.9466573578.

Adding to 2400434313 its reverse (3134340042), we get a palindrome (5534774355).

The spelling of 2400434313 in words is "two billion, four hundred million, four hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 29 87 1913 5739 14423 43269 55477 166431 418267 1254801 27591199 82773597 800144771 2400434313