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340431 = 37132943
BaseRepresentation
bin1010011000111001111
3122021222120
41103013033
541343211
611144023
72615340
oct1230717
9567876
10340431
11212853
12145013
13bbc50
148c0c7
156ad06
hex531cf

340431 has 32 divisors (see below), whose sum is σ = 591360. Its totient is φ = 169344.

The previous prime is 340429. The next prime is 340447. The reversal of 340431 is 134043.

340431 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

340431 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 340431 - 21 = 340429 is a prime.

It is a super-2 number, since 2×3404312 = 231786531522, which contains 22 as substring.

340431 is strictly pandigital in base 7.

340431 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 340431.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 340431.

It is not an unprimeable number, because it can be changed into a prime (340451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7896 + ... + 7938.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2340431 is an apocalyptic number.

340431 is a deficient number, since it is larger than the sum of its proper divisors (250929).

340431 is a wasteful number, since it uses less digits than its factorization.

340431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 340431 is about 583.4646518856. The cubic root of 340431 is about 69.8247999603.

Adding to 340431 its reverse (134043), we get a palindrome (474474).

The spelling of 340431 in words is "three hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 29 39 43 87 91 129 203 273 301 377 559 609 903 1131 1247 1677 2639 3741 3913 7917 8729 11739 16211 26187 48633 113477 340431