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340324340430312 = 233274116469431883
BaseRepresentation
bin100110101100001011110111…
…1011010110111010111101000
31122121222200121102121121012200
41031120113233122313113220
5324101333222122232222
63203450502121340200
7131453423261646030
oct11530275732672750
91577880542547180
10340324340430312
119948a818a323a7
1232205179037660
13117b85a84ac964
146007b009888c0
15295293ca73eac
hex13585ef6b75e8

340324340430312 has 96 divisors (see below), whose sum is σ = 1079077177039680. Its totient is φ = 94863927640320.

The previous prime is 340324340430281. The next prime is 340324340430323. The reversal of 340324340430312 is 213034043423043.

340324340430312 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 2 + 4 + 340 + 4 + 303 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8234695278 + ... + 8234736605.

It is an arithmetic number, because the mean of its divisors is an integer number (11240387260830).

Almost surely, 2340324340430312 is an apocalyptic number.

It is an amenable number.

340324340430312 is an abundant number, since it is smaller than the sum of its proper divisors (738752836609368).

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

340324340430312 is a wasteful number, since it uses less digits than its factorization.

340324340430312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16469431943 (or 16469431936 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 340324340430312 its reverse (213034043423043), we get a palindrome (553358383853355).

The spelling of 340324340430312 in words is "three hundred forty trillion, three hundred twenty-four billion, three hundred forty million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5166 6888 10332 20664 16469431883 32938863766 49408295649 65877727532 98816591298 115286023181 131755455064 148224886947 197633182596 230572046362 296449773894 345858069543 395266365192 461144092724 592899547788 675246707203 691716139086 922288185448 1037574208629 1185799095576 1350493414406 1383432278172 2025740121609 2075148417258 2700986828812 2766864556344 4051480243218 4150296834516 4726726950421 5401973657624 6077220364827 8102960486436 8300593669032 9453453900842 12154440729654 14180180851263 16205920972872 18906907801684 24308881459308 28360361702526 37813815603368 42540542553789 48617762918616 56720723405052 85081085107578 113441446810104 170162170215156 340324340430312