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430824031 = 11194494591
BaseRepresentation
bin11001101011011…
…101101001011111
31010000200010110121
4121223131221133
51340242332111
6110430015411
713450641511
oct3153355137
91100603417
10430824031
11201209520
12100347567
136b344681
1441309bb1
1527c51871
hex19adda5f

430824031 has 16 divisors (see below), whose sum is σ = 495936000. Its totient is φ = 370137600.

The previous prime is 430824011. The next prime is 430824071. The reversal of 430824031 is 130428034.

It is a 9-Lehmer number, since φ(430824031) divides (430824031-1)9.

It is a cyclic number.

It is not a de Polignac number, because 430824031 - 25 = 430823999 is a prime.

It is a super-2 number, since 2×4308240312 = 371218691374177922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430823987 and 430824005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430824011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91546 + ... + 96136.

It is an arithmetic number, because the mean of its divisors is an integer number (30996000).

Almost surely, 2430824031 is an apocalyptic number.

430824031 is the 9283-rd centered decagonal number.

430824031 is a deficient number, since it is larger than the sum of its proper divisors (65111969).

430824031 is a wasteful number, since it uses less digits than its factorization.

430824031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070.

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 430824031 is about 20756.3009951195. The cubic root of 430824031 is about 755.2660676504.

The spelling of 430824031 in words is "four hundred thirty million, eight hundred twenty-four thousand, thirty-one".

Divisors: 1 11 19 209 449 4591 4939 8531 50501 87229 93841 959519 2061359 22674949 39165821 430824031