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344048840443 = 72113331191627
BaseRepresentation
bin1010000000110101110…
…10001010111011111011
31012220001100120222012001
411000122322022323323
521114103000343233
6422015344401431
733566564614600
oct5003272127373
91186040528161
10344048840443
11122a01668070
1256819316277
132659c973239
141291b3386a7
158e3986727d
hex501ae8aefb

344048840443 has 24 divisors (see below), whose sum is σ = 436737075264. Its totient is φ = 268008123600.

The previous prime is 344048840441. The next prime is 344048840489.

344048840443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344048840443 - 21 = 344048840441 is a prime.

It is a super-2 number, since 2×3440488404432 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344048840393 and 344048840402.

It is not an unprimeable number, because it can be changed into a prime (344048840441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699596 + ... + 1891222.

It is an arithmetic number, because the mean of its divisors is an integer number (18197378136).

Almost surely, 2344048840443 is an apocalyptic number.

344048840443 is a deficient number, since it is larger than the sum of its proper divisors (92688234821).

344048840443 is a wasteful number, since it uses less digits than its factorization.

344048840443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194983 (or 194976 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 46.

The spelling of 344048840443 in words is "three hundred forty-four billion, forty-eight million, eight hundred forty thousand, four hundred forty-three".

Divisors: 1 7 11 49 77 539 3331 23317 36641 163219 191627 256487 1341389 1795409 2107897 9389723 14755279 103286953 638309537 4468166759 7021404907 31277167313 49149834349 344048840443