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340240002340224 = 2737126577381823
BaseRepresentation
bin100110101011100100100110…
…0011110100101010110000000
31122121200121220202121201100110
41031113021030132211112000
5324043443011044341344
63203344033235351320
7131444346303006330
oct11527111436452600
91577617822551313
10340240002340224
1199457a7a311aa8
12321b0960452540
13117b06576b023c
1460039bda0d0c0
1529506537ea3b9
hex135724c7a5580

340240002340224 has 64 divisors (see below), whose sum is σ = 1032871435683840. Its totient is φ = 97211429239296.

The previous prime is 340240002340213. The next prime is 340240002340247. The reversal of 340240002340224 is 422043200042043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 340240002340191 and 340240002340200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63288688224 + ... + 63288693599.

It is an arithmetic number, because the mean of its divisors is an integer number (16138616182560).

Almost surely, 2340240002340224 is an apocalyptic number.

It is an amenable number.

340240002340224 is an abundant number, since it is smaller than the sum of its proper divisors (692631433343616).

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

340240002340224 is a wasteful number, since it uses less digits than its factorization.

340240002340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126577381847 (or 126577381835 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 340240002340224 its reverse (422043200042043), we get a palindrome (762283202382267).

The spelling of 340240002340224 in words is "three hundred forty trillion, two hundred forty billion, two million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 126577381823 253154763646 379732145469 506309527292 759464290938 886041672761 1012619054584 1518928581876 1772083345522 2025238109168 2658125018283 3037857163752 3544166691044 4050476218336 5316250036566 6075714327504 7088333382088 8100952436672 10632500073132 12151428655008 14176666764176 16201904873344 21265000146264 24302857310016 28353333528352 42530000292528 48605714620032 56706667056704 85060000585056 113413334113408 170120001170112 340240002340224