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324504540409 = 7217247872
BaseRepresentation
bin1001011100011011111…
…10100101010011111001
31011000121021112122202211
410232031332211103321
520304041130243114
6405024134255121
732305345040200
oct4561576452371
91130537478684
10324504540409
11115692398195
1252a83ab74a1
13247a680c86a
14119c5796237
158693b136c4
hex4b8dfa54f9

324504540409 has 27 divisors (see below), whose sum is σ = 401079827343. Its totient is φ = 261730488768.

The previous prime is 324504540389. The next prime is 324504540413. The reversal of 324504540409 is 904045405423.

It is a happy number.

The square root of 324504540409 is 569653.

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., 252641943225 + 71862597184 = 502635^2 + 268072^2 .

It is not a de Polignac number, because 324504540409 - 27 = 324504540281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (324504540499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67786314 + ... + 67791100.

Almost surely, 2324504540409 is an apocalyptic number.

324504540409 is the 569653-rd square number.

324504540409 is the 284827-th centered octagonal number.

It is an amenable number.

324504540409 is a deficient number, since it is larger than the sum of its proper divisors (76575286934).

324504540409 is an frugal number, since it uses more digits than its factorization.

324504540409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9622 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 324504540409 in words is "three hundred twenty-four billion, five hundred four million, five hundred forty thousand, four hundred nine".

Divisors: 1 7 17 49 119 289 833 2023 4787 14161 33509 81379 234563 569653 1383443 3987571 9684101 22915369 67788707 160407583 389561273 1122853081 2726928911 6622541641 19088502377 46357791487 324504540409