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328249930761 = 34636592
BaseRepresentation
bin1001100011011010011…
…10000111010000001001
31011101021022011012110000
410301231032013100021
520334223440241021
6410443531113213
732500224242454
oct4615516072011
91141238135400
10328249930761
1111723458a415
125374a2a2809
1324c5276667c
1411c5cd9049b
158812843b26
hex4c6d387409

328249930761 has 15 divisors (see below), whose sum is σ = 490356364861. Its totient is φ = 218829849588.

The previous prime is 328249930753. The next prime is 328249930763. The reversal of 328249930761 is 167039942823.

The square root of 328249930761 is 572931.

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

328249930761 is a `hidden beast` number, since 3 + 2 + 82 + 499 + 3 + 0 + 76 + 1 = 666.

It is not a de Polignac number, because 328249930761 - 23 = 328249930753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 328249930698 and 328249930707.

It is not an unprimeable number, because it can be changed into a prime (328249930763) 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, 5124550 + ... + 5188208.

Almost surely, 2328249930761 is an apocalyptic number.

328249930761 is the 572931-st square number.

328249930761 is the 286466-th centered octagonal number.

It is an amenable number.

328249930761 is a deficient number, since it is larger than the sum of its proper divisors (162106434100).

328249930761 is an frugal number, since it uses more digits than its factorization.

328249930761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127330 (or 63662 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 328249930761 in words is "three hundred twenty-eight billion, two hundred forty-nine million, nine hundred thirty thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 81 63659 190977 572931 1718793 5156379 4052468281 12157404843 36472214529 109416643587 328249930761