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430420431 = 3720496211
BaseRepresentation
bin11001101001111…
…011000111001111
31002222220121211110
4121221323013033
51340141423211
6110413223103
713444341030
oct3151730717
91088817743
10430420431
11200a63271
12100191a93
136b232a5c
1441242a87
1527bc1ea6
hex19a7b1cf

430420431 has 8 divisors (see below), whose sum is σ = 655878784. Its totient is φ = 245954520.

The previous prime is 430420427. The next prime is 430420439. The reversal of 430420431 is 134024034.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 430420431 - 22 = 430420427 is a prime.

It is a super-2 number, since 2×4304204312 = 370523494844451522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 20496211 = 430420431 / (4 + 3 + 0 + 4 + 2 + 0 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430420398 and 430420407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430420439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10248085 + ... + 10248126.

It is an arithmetic number, because the mean of its divisors is an integer number (81984848).

Almost surely, 2430420431 is an apocalyptic number.

430420431 is a deficient number, since it is larger than the sum of its proper divisors (225458353).

430420431 is a wasteful number, since it uses less digits than its factorization.

430420431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20496221.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 430420431 is about 20746.5763681625. The cubic root of 430420431 is about 755.0301471815.

Adding to 430420431 its reverse (134024034), we get a palindrome (564444465).

The spelling of 430420431 in words is "four hundred thirty million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 20496211 61488633 143473477 430420431