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432343431 = 3213832112
BaseRepresentation
bin11001110001010…
…000100110000111
31010010112022200200
4121301100212013
51341134442211
6110522341543
713466600322
oct3161204607
91103468620
10432343431
11202057023
1210095a8b3
136b757120
14415c37b9
1527e51b56
hex19c50987

432343431 has 36 divisors (see below), whose sum is σ = 683878104. Its totient is φ = 261606240.

The previous prime is 432343421. The next prime is 432343441. The reversal of 432343431 is 134343234.

It is an interprime number because it is at equal distance from previous prime (432343421) and next prime (432343441).

It is a de Polignac number, because none of the positive numbers 2k-432343431 is a prime.

It is a super-2 number, since 2×4323434312 = 373841684657703522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432343395 and 432343404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432343411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2048916 + ... + 2049126.

It is an arithmetic number, because the mean of its divisors is an integer number (18996614).

Almost surely, 2432343431 is an apocalyptic number.

432343431 is a deficient number, since it is larger than the sum of its proper divisors (251534673).

432343431 is a wasteful number, since it uses less digits than its factorization.

432343431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 310 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 432343431 is about 20792.8697153616. The cubic root of 432343431 is about 756.1528990736.

Adding to 432343431 its reverse (134343234), we get a palindrome (566686665).

It can be divided in two parts, 43234 and 3431, that added together give a triangular number (46665 = T305).

The spelling of 432343431 in words is "four hundred thirty-two million, three hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 83 117 211 249 633 747 1079 1899 2743 3237 8229 9711 17513 24687 44521 52539 133563 157617 227669 400689 578773 683007 1736319 2049021 3695243 5208957 11085729 33257187 48038159 144114477 432343431