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343420423412004 = 223285711131220777
BaseRepresentation
bin100111000010101101100110…
…0010110001001100100100100
31200000221200010202222001221100
41032011123030112021210210
5330003100011343141004
63214221055312520100
7132223210144040151
oct11605331426114444
91600850122861840
10343420423412004
119a473869078364
1232625218b50030
131198153a163183
1460b38cc5cd228
1529a82476be739
hex13856cc589924

343420423412004 has 36 divisors (see below), whose sum is σ = 869103455904684. Its totient is φ = 114339899811072.

The previous prime is 343420423411997. The next prime is 343420423412023. The reversal of 343420423412004 is 400214324024343.

343420423412004 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 20 + 423 + 4 + 1 + 200 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 287621316197604 + 55799107214400 = 16959402^2 + 7469880^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 343420423412004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5565579537 + ... + 5565641240.

It is an arithmetic number, because the mean of its divisors is an integer number (24141762664019).

Almost surely, 2343420423412004 is an apocalyptic number.

It is an amenable number.

343420423412004 is an abundant number, since it is smaller than the sum of its proper divisors (525683032492680).

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

343420423412004 is a wasteful number, since it uses less digits than its factorization.

343420423412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131221644 (or 11131221639 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 343420423412004 its reverse (400214324024343), we get a palindrome (743634747436347).

The spelling of 343420423412004 in words is "three hundred forty-three trillion, four hundred twenty billion, four hundred twenty-three million, four hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 857 1714 2571 3428 5142 7713 10284 15426 30852 11131220777 22262441554 33393662331 44524883108 66787324662 100180986993 133574649324 200361973986 400723947972 9539456205889 19078912411778 28618368617667 38157824823556 57236737235334 85855105853001 114473474470668 171710211706002 343420423412004