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830336661 = 327111770481
BaseRepresentation
bin110001011111011…
…110111010010101
32010212102110202200
4301133132322111
53200031233121
6214220555113
726401513410
oct6137367225
92125373680
10830336661
11396781250
121b20b2a99
1310304518b
147c3c4b77
154cd6aa26
hex317dee95

830336661 has 48 divisors (see below), whose sum is σ = 1583307648. Its totient is φ = 405964800.

The previous prime is 830336641. The next prime is 830336669. The reversal of 830336661 is 166633038.

It is not a de Polignac number, because 830336661 - 25 = 830336629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830336669) 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 47 ways as a sum of consecutive naturals, for example, 23460 + ... + 47021.

It is an arithmetic number, because the mean of its divisors is an integer number (32985576).

Almost surely, 2830336661 is an apocalyptic number.

It is an amenable number.

830336661 is a deficient number, since it is larger than the sum of its proper divisors (752970987).

830336661 is a wasteful number, since it uses less digits than its factorization.

830336661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70522 (or 70519 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 830336661 is about 28815.5628263617. The cubic root of 830336661 is about 939.9066834330.

Adding to 830336661 its reverse (166633038), we get a palindrome (996969699).

The spelling of 830336661 in words is "eight hundred thirty million, three hundred thirty-six thousand, six hundred sixty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11781 70481 211443 493367 634329 775291 1198177 1480101 2325873 3594531 4440303 5427037 6977619 8387239 10783593 13179947 16281111 25161717 39539841 48843333 75485151 92259629 118619523 276778887 830336661