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431000424 = 23325986117
BaseRepresentation
bin11001101100001…
…000101101101000
31010001000002102200
4121230020231220
51340314003144
6110433500200
713452305001
oct3154105550
91101002380
10431000424
11201319aa8
12100411660
136b3a6a4a
14413541a8
1527c88c69
hex19b08b68

431000424 has 24 divisors (see below), whose sum is σ = 1167293010. Its totient is φ = 143666784.

The previous prime is 431000417. The next prime is 431000429. The reversal of 431000424 is 424000134.

It can be written as a sum of positive squares in only one way, i.e., 344844900 + 86155524 = 18570^2 + 9282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4310004242 = 371522730976359552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 431000397 and 431000406.

It is not an unprimeable number, because it can be changed into a prime (431000429) 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 5 ways as a sum of consecutive naturals, for example, 2992987 + ... + 2993130.

Almost surely, 2431000424 is an apocalyptic number.

It is an amenable number.

431000424 is an abundant number, since it is smaller than the sum of its proper divisors (736292586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431000424 is a wasteful number, since it uses less digits than its factorization.

431000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986129 (or 5986122 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 431000424 is about 20760.5497037049. The cubic root of 431000424 is about 755.3691302003.

Adding to 431000424 its reverse (424000134), we get a palindrome (855000558).

The spelling of 431000424 in words is "four hundred thirty-one million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5986117 11972234 17958351 23944468 35916702 47888936 53875053 71833404 107750106 143666808 215500212 431000424