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434070667300 = 225210939822997
BaseRepresentation
bin1100101000100001010…
…00001100000000100100
31112111102010112121010111
412110100220030000210
524102434042323200
6531224224502404
743234450536364
oct6242050140044
91474363477114
10434070667300
111580a7636a86
127016147aa04
1331c181682ca
141701b0b89a4
15b457aa60ba
hex6510a0c024

434070667300 has 36 divisors (see below), whose sum is σ = 950574962260. Its totient is φ = 172035342720.

The previous prime is 434070667253. The next prime is 434070667313. The reversal of 434070667300 is 3766070434.

It can be written as a sum of positive squares in 6 ways, for example, as 17498527524 + 416572139776 = 132282^2 + 645424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19900599 + ... + 19922398.

Almost surely, 2434070667300 is an apocalyptic number.

It is an amenable number.

434070667300 is an abundant number, since it is smaller than the sum of its proper divisors (516504294960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434070667300 is a wasteful number, since it uses less digits than its factorization.

434070667300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39823120 (or 39823113 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 434070667300 in words is "four hundred thirty-four billion, seventy million, six hundred sixty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 39822997 79645994 159291988 199114985 398229970 796459940 995574925 1991149850 3982299700 4340706673 8681413346 17362826692 21703533365 43407066730 86814133460 108517666825 217035333650 434070667300