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430134561 = 32172811337
BaseRepresentation
bin11001101000110…
…101010100100001
31002222101002200200
4121220311110201
51340103301221
6110403135413
713442040423
oct3150652441
91088332620
10430134561
1120088850a
12100074569
136b1628bc
14411aa813
1527b67426
hex19a35521

430134561 has 12 divisors (see below), whose sum is σ = 657853092. Its totient is φ = 269888256.

The previous prime is 430134533. The next prime is 430134577. The reversal of 430134561 is 165431034.

It can be written as a sum of positive squares in 2 ways, for example, as 297769536 + 132365025 = 17256^2 + 11505^2 .

It is not a de Polignac number, because 430134561 - 210 = 430133537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (430134511) 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 11 ways as a sum of consecutive naturals, for example, 1405516 + ... + 1405821.

It is an arithmetic number, because the mean of its divisors is an integer number (54821091).

Almost surely, 2430134561 is an apocalyptic number.

It is an amenable number.

430134561 is a deficient number, since it is larger than the sum of its proper divisors (227718531).

430134561 is a wasteful number, since it uses less digits than its factorization.

430134561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811360 (or 2811357 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 430134561 is about 20739.6856533555. The cubic root of 430134561 is about 754.8629554044.

Adding to 430134561 its reverse (165431034), we get a palindrome (595565595).

It can be divided in two parts, 43013 and 4561, that added together give a palindrome (47574).

The spelling of 430134561 in words is "four hundred thirty million, one hundred thirty-four thousand, five hundred sixty-one".

Divisors: 1 3 9 17 51 153 2811337 8434011 25302033 47792729 143378187 430134561