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344314004132440 = 235118737271945739
BaseRepresentation
bin100111001001001101101100…
…1111010000101001001011000
31200011010002121221201222001201
41032102123121322011021120
5330112220040024214230
63220143400404523544
7132344602666612006
oct11622333172051130
91604102557658051
10344314004132440
119a7888270a3431
123274a43b3b05b4
1311a17895a216b4
146104c5b223a76
1529c15e63925ca
hex13926d9e85258

344314004132440 has 64 divisors (see below), whose sum is σ = 775567605542400. Its totient is φ = 137572580297088.

The previous prime is 344314004132387. The next prime is 344314004132531. The reversal of 344314004132440 is 44231400413443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 344314004132440.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 175985091 + ... + 177930829.

It is an arithmetic number, because the mean of its divisors is an integer number (12118243836600).

Almost surely, 2344314004132440 is an apocalyptic number.

It is an amenable number.

344314004132440 is an abundant number, since it is smaller than the sum of its proper divisors (431253601409960).

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

344314004132440 is a wasteful number, since it uses less digits than its factorization.

344314004132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950664 (or 1950660 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 344314004132440 its reverse (44231400413443), we get a palindrome (388545404545883).

The spelling of 344314004132440 in words is "three hundred forty-four trillion, three hundred fourteen billion, four million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1187 2374 3727 4748 5935 7454 9496 11870 14908 18635 23740 29816 37270 47480 74540 149080 1945739 3891478 4423949 7782956 8847898 9728695 15565912 17695796 19457390 22119745 35391592 38914780 44239490 77829560 88478980 176957960 2309592193 4619184386 7251769253 9238368772 11547960965 14503538506 18476737544 23095921930 29007077012 36258846265 46191843860 58014154024 72517692530 92383687720 145035385060 290070770120 8607850103311 17215700206622 34431400413244 43039250516555 68862800826488 86078501033110 172157002066220 344314004132440