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830148329 = 61127710657
BaseRepresentation
bin110001011110110…
…000111011101001
32010212001220102102
4301132300323221
53200004221304
6214212543145
726400100343
oct6136607351
92125056372
10830148329
113966627aa
121b2021ab5
13102caa53a
147c376293
154cd2ed1e
hex317b0ee9

830148329 has 8 divisors (see below), whose sum is σ = 844497288. Its totient is φ = 815823360.

The previous prime is 830148313. The next prime is 830148337. The reversal of 830148329 is 923841038.

It can be written as a sum of positive squares in 4 ways, for example, as 9211225 + 820937104 = 3035^2 + 28652^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 830148329 - 24 = 830148313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 830148292 and 830148301.

It is not an unprimeable number, because it can be changed into a prime (830142329) 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 7 ways as a sum of consecutive naturals, for example, 72569 + ... + 83225.

It is an arithmetic number, because the mean of its divisors is an integer number (105562161).

Almost surely, 2830148329 is an apocalyptic number.

It is an amenable number.

830148329 is a deficient number, since it is larger than the sum of its proper divisors (14348959).

830148329 is a wasteful number, since it uses less digits than its factorization.

830148329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 830148329 is about 28812.2947541497. The cubic root of 830148329 is about 939.8356167205.

The spelling of 830148329 in words is "eight hundred thirty million, one hundred forty-eight thousand, three hundred twenty-nine".

Divisors: 1 61 1277 10657 77897 650077 13608989 830148329