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344314004132024 = 23715771231853439
BaseRepresentation
bin100111001001001101101100…
…1111010000101000010111000
31200011010002121221201221111022
41032102123121322011002320
5330112220040024211044
63220143400404522012
7132344602666610543
oct11622333172050270
91604102557657438
10344314004132024
119a7888270a3093
123274a43b3b0308
1311a17895a21454
146104c5b22385a
1529c15e63923ee
hex13926d9e850b8

344314004132024 has 64 divisors (see below), whose sum is σ = 656349707059200. Its totient is φ = 169300251187200.

The previous prime is 344314004132023. The next prime is 344314004132041. The reversal of 344314004132024 is 420231400413443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344314004132023) by changing a digit.

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, 403016297 + ... + 403869735.

It is an arithmetic number, because the mean of its divisors is an integer number (10255464172800).

Almost surely, 2344314004132024 is an apocalyptic number.

It is an amenable number.

344314004132024 is a deficient number, since it is larger than the sum of its proper divisors (312035702927176).

344314004132024 is a wasteful number, since it uses less digits than its factorization.

344314004132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855324 (or 855320 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 344314004132024 its reverse (420231400413443), we get a palindrome (764545404545467).

The spelling of 344314004132024 in words is "three hundred forty-four trillion, three hundred fourteen billion, four million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 71 142 284 568 577 1154 1231 2308 2462 4616 4924 9848 40967 81934 87401 163868 174802 327736 349604 699208 710287 853439 1420574 1706878 2841148 3413756 5682296 6827512 50430377 60594169 100860754 121188338 201721508 242376676 403443016 484753352 492434303 984868606 1050583409 1969737212 2101166818 3939474424 4202333636 8404667272 34962835513 69925671026 74591422039 139851342052 149182844078 279702684104 298365688156 596731376312 606186626993 1212373253986 2424746507972 4849493015944 43039250516503 86078501033006 172157002066012 344314004132024