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434350856809 = 192346872
BaseRepresentation
bin1100101001000010101…
…01000001101001101001
31112112010122202200212201
412110201111001221221
524104022304404214
6531312114140201
743244422236412
oct6244125015151
91475118680781
10434350856809
1115823080a561
127021b281661
1331c6121b00c
14170463b2809
15b4724a0274
hex6521541a69

434350856809 has 9 divisors (see below), whose sum is σ = 458427832317. Its totient is φ = 411478422444.

The previous prime is 434350856747. The next prime is 434350856843. The reversal of 434350856809 is 908658053434.

The square root of 434350856809 is 659053.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 434350856809 - 235 = 399991118441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 434350856809.

It is not an unprimeable number, because it can be changed into a prime (434350856869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12504664 + ... + 12539350.

It is an arithmetic number, because the mean of its divisors is an integer number (50936425813).

Almost surely, 2434350856809 is an apocalyptic number.

434350856809 is the 659053-rd square number.

434350856809 is the 329527-th centered octagonal number.

It is an amenable number.

434350856809 is a deficient number, since it is larger than the sum of its proper divisors (24076975508).

434350856809 is an frugal number, since it uses more digits than its factorization.

434350856809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69412 (or 34706 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 434350856809 in words is "four hundred thirty-four billion, three hundred fifty million, eight hundred fifty-six thousand, eight hundred nine".

Divisors: 1 19 361 34687 659053 12522007 1203187969 22860571411 434350856809