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430541813 = 131717311261
BaseRepresentation
bin11001101010011…
…000101111110101
31010000010210100002
4121222120233311
51340204314223
6110420001045
713445354642
oct3152305765
91100123302
10430541813
11201036489
12100230185
136b276090
1441274dc9
1527be7e28
hex19a98bf5

430541813 has 16 divisors (see below), whose sum is σ = 493816176. Its totient is φ = 371850240.

The previous prime is 430541773. The next prime is 430541819. The reversal of 430541813 is 318145034.

It can be written as a sum of positive squares in 8 ways, for example, as 113060689 + 317481124 = 10633^2 + 17818^2 .

It is a cyclic number.

It is not a de Polignac number, because 430541813 - 218 = 430279669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430541819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32603 + ... + 43863.

It is an arithmetic number, because the mean of its divisors is an integer number (30863511).

Almost surely, 2430541813 is an apocalyptic number.

It is an amenable number.

430541813 is a deficient number, since it is larger than the sum of its proper divisors (63274363).

430541813 is a wasteful number, since it uses less digits than its factorization.

430541813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11464.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 430541813 is about 20749.5015120846. The cubic root of 430541813 is about 755.1011153551.

Adding to 430541813 its reverse (318145034), we get a palindrome (748686847).

The spelling of 430541813 in words is "four hundred thirty million, five hundred forty-one thousand, eight hundred thirteen".

Divisors: 1 13 17 173 221 2249 2941 11261 38233 146393 191437 1948153 2488681 25325989 33118601 430541813