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1096338321 = 341322832
BaseRepresentation
bin100000101011000…
…1100101110010001
32211101221202110000
41001112030232101
54221130311241
6300442200213
736111502431
oct10126145621
92741852400
101096338321
11512944231
122671b3069
1314619b100
14a58682c1
15663b0eb6
hex4158cb91

1096338321 has 45 divisors (see below), whose sum is σ = 1779699339. Its totient is φ = 672285744.

The previous prime is 1096338307. The next prime is 1096338367. The reversal of 1096338321 is 1238336901.

The square root of 1096338321 is 33111.

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

1096338321 is a `hidden beast` number, since 10 + 9 + 633 + 8 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162180225 + 934158096 = 12735^2 + 30564^2 .

It is not a de Polignac number, because 1096338321 - 25 = 1096338289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1096338391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3873846 + ... + 3874128.

Almost surely, 21096338321 is an apocalyptic number.

1096338321 is the 33111-st square number.

1096338321 is the 16556-th centered octagonal number.

It is an amenable number.

1096338321 is a deficient number, since it is larger than the sum of its proper divisors (683361018).

1096338321 is an frugal number, since it uses more digits than its factorization.

1096338321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 1096338321 is about 1031.1334244423.

Multiplying 1096338321 by its sum of digits (36), we get a square (39468179556 = 1986662).

It can be divided in two parts, 10963 and 38321, that added together give a square (49284 = 2222).

The spelling of 1096338321 in words is "one billion, ninety-six million, three hundred thirty-eight thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 283 351 507 849 1053 1521 2547 3679 4563 7641 11037 13689 22923 33111 47827 80089 99333 143481 240267 297999 430443 720801 1041157 1291329 2162403 3123471 3873987 6487209 9370413 13535041 28111239 40605123 84333717 121815369 365446107 1096338321