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434001431 = 4779179653
BaseRepresentation
bin11001110111100…
…101011000010111
31010020122120001002
4121313211120113
51342101021211
6111022053515
713516644203
oct3167453027
91106576032
10434001431
11202a89776
1210141a29b
136bbb79a6
14418d5b03
152817d03b
hex19de5617

434001431 has 16 divisors (see below), whose sum is σ = 452044800. Its totient is φ = 416408928.

The previous prime is 434001427. The next prime is 434001461. The reversal of 434001431 is 134100434.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 434001431 - 22 = 434001427 is a prime.

It is a super-2 number, since 2×4340014312 = 376714484220095522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434001461) 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 15 ways as a sum of consecutive naturals, for example, 664301 + ... + 664953.

It is an arithmetic number, because the mean of its divisors is an integer number (28252800).

Almost surely, 2434001431 is an apocalyptic number.

434001431 is a deficient number, since it is larger than the sum of its proper divisors (18043369).

434001431 is a wasteful number, since it uses less digits than its factorization.

434001431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 434001431 is about 20832.7010010704. The cubic root of 434001431 is about 757.1182599495.

Adding to 434001431 its reverse (134100434), we get a palindrome (568101865).

The spelling of 434001431 in words is "four hundred thirty-four million, one thousand, four hundred thirty-one".

Divisors: 1 47 79 179 653 3713 8413 14141 30691 51587 116887 664627 2424589 5493689 9234073 434001431