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431302431 = 3720538211
BaseRepresentation
bin11001101101010…
…010011100011111
31010001120102201010
4121231102130133
51340403134211
6110444150303
713455003330
oct3155223437
91101512633
10431302431
1120150599a
12100538393
136b481351
14413d2287
1527ce84a6
hex19b5271f

431302431 has 8 divisors (see below), whose sum is σ = 657222784. Its totient is φ = 246458520.

The previous prime is 431302423. The next prime is 431302439. The reversal of 431302431 is 134203134.

It is an interprime number because it is at equal distance from previous prime (431302423) and next prime (431302439).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 431302431 - 23 = 431302423 is a prime.

It is a super-2 number, since 2×4313024312 = 372043573973019522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 20538211 = 431302431 / (4 + 3 + 1 + 3 + 0 + 2 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431302398 and 431302407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431302439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10269085 + ... + 10269126.

It is an arithmetic number, because the mean of its divisors is an integer number (82152848).

Almost surely, 2431302431 is an apocalyptic number.

431302431 is a deficient number, since it is larger than the sum of its proper divisors (225920353).

431302431 is a wasteful number, since it uses less digits than its factorization.

431302431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20538221.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 431302431 is about 20767.8220090601. The cubic root of 431302431 is about 755.5455209796.

Adding to 431302431 its reverse (134203134), we get a palindrome (565505565).

The spelling of 431302431 in words is "four hundred thirty-one million, three hundred two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 20538211 61614633 143767477 431302431