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343204021244032 = 2713297112152297
BaseRepresentation
bin100111000001001000110100…
…1110001011001000010000000
31200000011222120100002220220021
41032002101221301121002000
5324441023313414302112
63213533430055223224
7132201446406001354
oct11602215161310200
91600158510086807
10343204021244032
119a3a000a755643
12325ab2a4377b14
131196700096a780
1460a723ddad464
1529a27ce2b3907
hex1382469c59080

343204021244032 has 64 divisors (see below), whose sum is σ = 761711511115800. Its totient is φ = 152939722973184.

The previous prime is 343204021244017. The next prime is 343204021244041. The reversal of 343204021244032 is 230442120402343.

It can be written as a sum of positive squares in 4 ways, for example, as 322081025851456 + 21122995392576 = 17946616^2 + 4595976^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3556027893 + ... + 3556124404.

Almost surely, 2343204021244032 is an apocalyptic number.

343204021244032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

343204021244032 is an abundant number, since it is smaller than the sum of its proper divisors (418507489871768).

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

343204021244032 is a wasteful number, since it uses less digits than its factorization.

343204021244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112152353 (or 7112152341 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 343204021244032 its reverse (230442120402343), we get a palindrome (573646141646375).

The spelling of 343204021244032 in words is "three hundred forty-three trillion, two hundred four billion, twenty-one million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 464 754 832 928 1508 1664 1856 3016 3712 6032 12064 24128 48256 7112152297 14224304594 28448609188 56897218376 92457979861 113794436752 184915959722 206252416613 227588873504 369831919444 412504833226 455177747008 739663838888 825009666452 910355494016 1479327677776 1650019332904 2681281415969 2958655355552 3300038665808 5362562831938 5917310711104 6600077331616 10725125663876 11834621422208 13200154663232 21450251327752 26400309326464 42900502655504 85801005311008 171602010622016 343204021244032