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344204014024432 = 24192544134450441
BaseRepresentation
bin100111001000011010011110…
…1111111000111011011110000
31200010201120201112221112221201
41032100310331333013123300
5330103414310042240212
63220021050251100544
7132333630225251122
oct11620647577073360
91603646645845851
10344204014024432
119a74611459a321
1232731063a41754
1311a0a3b75a9153
1460dd7c5497212
1529bd80a0a0b57
hex1390d3dfc76f0

344204014024432 has 40 divisors (see below), whose sum is σ = 701997945612560. Its totient is φ = 163043329144320.

The previous prime is 344204014024427. The next prime is 344204014024457. The reversal of 344204014024432 is 234420410402443.

It is a junction number, because it is equal to n+sod(n) for n = 344204014024391 and 344204014024400.

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, 75116332 + ... + 79566772.

It is an arithmetic number, because the mean of its divisors is an integer number (17549948640314).

Almost surely, 2344204014024432 is an apocalyptic number.

It is an amenable number.

344204014024432 is an abundant number, since it is smaller than the sum of its proper divisors (357793931588128).

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

344204014024432 is a wasteful number, since it uses less digits than its factorization.

344204014024432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704881 (or 4704875 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 344204014024432 its reverse (234420410402443), we get a palindrome (578624424426875).

The spelling of 344204014024432 in words is "three hundred forty-four trillion, two hundred four billion, fourteen million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 254413 508826 1017652 2035304 4070608 4450441 4833847 8900882 9667694 17801764 19335388 35603528 38670776 71207056 77341552 84558379 169116758 338233516 676467032 1352934064 1132250046133 2264500092266 4529000184532 9058000369064 18116000738128 21512750876527 43025501753054 86051003506108 172102007012216 344204014024432