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324242340345 = 325711643145531
BaseRepresentation
bin1001011011111100101…
…10010111100111111001
31010222221000011111220100
410231332112113213321
520303022014342340
6404542130350013
732266012263420
oct4557626274771
91128830144810
10324242340345
11115568391420
1252a1012b309
13247643b80b1
141199ca222b7
15867aabe830
hex4b7e5979f9

324242340345 has 96 divisors (see below), whose sum is σ = 701794888704. Its totient is φ = 134539574400.

The previous prime is 324242340329. The next prime is 324242340391. The reversal of 324242340345 is 543043242423.

324242340345 is a `hidden beast` number, since 3 + 2 + 4 + 242 + 3 + 403 + 4 + 5 = 666.

It is not a de Polignac number, because 324242340345 - 24 = 324242340329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2155230 + ... + 2300760.

It is an arithmetic number, because the mean of its divisors is an integer number (7310363424).

Almost surely, 2324242340345 is an apocalyptic number.

324242340345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

324242340345 is an abundant number, since it is smaller than the sum of its proper divisors (377552548359).

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

324242340345 is a wasteful number, since it uses less digits than its factorization.

324242340345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146203 (or 146200 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 324242340345 its reverse (543043242423), we get a palindrome (867285582768).

The spelling of 324242340345 in words is "three hundred twenty-four billion, two hundred forty-two million, three hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 643 693 1155 1929 3215 3465 4501 5787 7073 9645 13503 21219 22505 28935 35365 40509 49511 63657 67515 106095 145531 148533 202545 247555 318285 436593 445599 727655 742665 1018717 1309779 1600841 2182965 2227995 3056151 4802523 5093585 6548895 8004205 9168453 11205887 14407569 15280755 24012615 33617661 45842265 56029435 72037845 93576433 100852983 168088305 280729299 467882165 504264915 655035031 842187897 1029340763 1403646495 1965105093 3088022289 3275175155 4210939485 5146703815 5895315279 7205385341 9264066867 9825525465 15440111445 21616156023 29476576395 36026926705 46320334335 64848468069 108080780115 324242340345