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324364216014 = 23429283324371
BaseRepresentation
bin1001011100001011001…
…11010010011011001110
31011000020111111102220000
410232011213102123032
520303244214403024
6405002202505130
732302022226156
oct4560547223316
91130214442800
10324364216014
11115620164413
1252a44b051a6
132478371a987
14119b0ca9766
158686645cc9
hex4b859d26ce

324364216014 has 80 divisors (see below), whose sum is σ = 752175000720. Its totient is φ = 104351950080.

The previous prime is 324364216013. The next prime is 324364216027. The reversal of 324364216014 is 410612463423.

324364216014 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 6 + 42 + 1 + 601 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 324364216014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324364216013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13297249 + ... + 13321619.

It is an arithmetic number, because the mean of its divisors is an integer number (9402187509).

Almost surely, 2324364216014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324364216014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376087500360).

324364216014 is an abundant number, since it is smaller than the sum of its proper divisors (427810784706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324364216014 is a wasteful number, since it uses less digits than its factorization.

324364216014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27247 (or 27238 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 324364216014 its reverse (410612463423), we get a palindrome (734976679437).

The spelling of 324364216014 in words is "three hundred twenty-four billion, three hundred sixty-four million, two hundred sixteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 2833 4698 5666 8499 16998 24371 25497 48742 50994 73113 76491 82157 146226 152982 164314 219339 229473 246471 438678 458946 492942 658017 706759 739413 1316034 1413518 1478826 1974051 2120277 2218239 3948102 4240554 4436478 6360831 6654717 12721662 13309434 19082493 38164986 57247479 69043043 114494958 138086086 207129129 414258258 621387387 1242774774 1864162161 2002248247 3728324322 4004496494 5592486483 6006744741 11184972966 12013489482 18020234223 36040468446 54060702669 108121405338 162182108007 324364216014