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348934759849 = 132454392
BaseRepresentation
bin1010001001111100010…
…00011110010110101001
31020100122212022101121001
411010332020132112221
521204104244303344
6424144242515001
734131633343564
oct5047610362651
91210585271531
10348934759849
11124a89636695
1257761665a61
1326b9ac9b300
1412c621c14db
159123786ed4
hex513e21e5a9

348934759849 has 9 divisors (see below), whose sum is σ = 377848913463. Its totient is φ = 322086535992.

The previous prime is 348934759847. The next prime is 348934759879. The reversal of 348934759849 is 948957439843.

The square root of 348934759849 is 590707.

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

It can be written as a sum of positive squares in only one way, i.e., 51617568025 + 297317191824 = 227195^2 + 545268^2 .

It is not a de Polignac number, because 348934759849 - 21 = 348934759847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348934759847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7656472 + ... + 7701910.

It is an arithmetic number, because the mean of its divisors is an integer number (41983212607).

Almost surely, 2348934759849 is an apocalyptic number.

348934759849 is the 590707-th square number.

348934759849 is the 295354-th centered octagonal number.

It is an amenable number.

348934759849 is a deficient number, since it is larger than the sum of its proper divisors (28914153614).

348934759849 is an frugal number, since it uses more digits than its factorization.

348934759849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90904 (or 45452 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 73.

The spelling of 348934759849 in words is "three hundred forty-eight billion, nine hundred thirty-four million, seven hundred fifty-nine thousand, eight hundred forty-nine".

Divisors: 1 13 169 45439 590707 7679191 2064702721 26841135373 348934759849