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434430430301 = 728865927149
BaseRepresentation
bin1100101001001100001…
…00100100110001011101
31112112100012111110012002
412110212010210301131
524104203142232201
6531324035452045
743246406505200
oct6244604446135
91475305443162
10434430430301
1115827171a27a
1270241a57025
1331c7485c21a
1417052ba7937
15b47946c76b
hex6526124c5d

434430430301 has 6 divisors (see below), whose sum is σ = 505357847550. Its totient is φ = 372368940216.

The previous prime is 434430430261. The next prime is 434430430303. The reversal of 434430430301 is 103034034434.

It can be written as a sum of positive squares in only one way, i.e., 410303021401 + 24127408900 = 640549^2 + 155330^2 .

It is not a de Polignac number, because 434430430301 - 26 = 434430430237 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 (434430430303) 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 5 ways as a sum of consecutive naturals, for example, 4432963526 + ... + 4432963623.

It is an arithmetic number, because the mean of its divisors is an integer number (84226307925).

Almost surely, 2434430430301 is an apocalyptic number.

It is an amenable number.

434430430301 is a deficient number, since it is larger than the sum of its proper divisors (70927417249).

434430430301 is an equidigital number, since it uses as much as digits as its factorization.

434430430301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865927163 (or 8865927156 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 434430430301 its reverse (103034034434), we get a palindrome (537464464735).

The spelling of 434430430301 in words is "four hundred thirty-four billion, four hundred thirty million, four hundred thirty thousand, three hundred one".

Divisors: 1 7 49 8865927149 62061490043 434430430301