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344471564889 = 34652132
BaseRepresentation
bin1010000001101000001…
…10101111001001011001
31012221010211000121010000
411000310012233021121
521120434210034024
6422125325043213
733613216663434
oct5006406571131
91187124017100
10344471564889
111230a9244211
12569169b6509
132663941004a
141295b53681b
158e61a18cc9
hex50341af259

344471564889 has 15 divisors (see below), whose sum is σ = 514588870543. Its totient is φ = 229644188424.

The previous prime is 344471564881. The next prime is 344471564939. The reversal of 344471564889 is 988465174443.

The square root of 344471564889 is 586917.

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

344471564889 is a `hidden beast` number, since 3 + 44 + 471 + 5 + 6 + 48 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72100305225 + 272371259664 = 268515^2 + 521892^2 .

It is not a de Polignac number, because 344471564889 - 23 = 344471564881 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (344471564881) 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 14 ways as a sum of consecutive naturals, for example, 5249647 + ... + 5314859.

Almost surely, 2344471564889 is an apocalyptic number.

344471564889 is the 586917-th square number.

344471564889 is the 293459-th centered octagonal number.

It is an amenable number.

344471564889 is a deficient number, since it is larger than the sum of its proper divisors (170117305654).

344471564889 is an frugal number, since it uses more digits than its factorization.

344471564889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130438 (or 65216 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 344471564889 in words is "three hundred forty-four billion, four hundred seventy-one million, five hundred sixty-four thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 81 65213 195639 586917 1760751 5282253 4252735369 12758206107 38274618321 114823854963 344471564889