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344035645645 = 5929188939209
BaseRepresentation
bin1010000000110100001…
…11110101100011001101
31012220000102202121022211
411000122013311203031
521114041111130040
6422014153510421
733566344511026
oct5003207654315
91186012677284
10344035645645
111229a517567a
1256814a12411
132659a003473
14129196a1c4d
158e3860c8ea
hex501a1f58cd

344035645645 has 16 divisors (see below), whose sum is σ = 413516502000. Its totient is φ = 274779701248.

The previous prime is 344035645633. The next prime is 344035645649. The reversal of 344035645645 is 546546530443.

It can be written as a sum of positive squares in 8 ways, for example, as 4270230409 + 339765415236 = 65347^2 + 582894^2 .

It is a cyclic number.

It is not a de Polignac number, because 344035645645 - 219 = 344035121357 is a prime.

It is a super-3 number, since 3×3440356456453 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344035645649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8754801 + ... + 8794009.

It is an arithmetic number, because the mean of its divisors is an integer number (25844781375).

Almost surely, 2344035645645 is an apocalyptic number.

It is an amenable number.

344035645645 is a deficient number, since it is larger than the sum of its proper divisors (69480856355).

344035645645 is a wasteful number, since it uses less digits than its factorization.

344035645645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42032.

The product of its (nonzero) digits is 10368000, while the sum is 49.

The spelling of 344035645645 in words is "three hundred forty-four billion, thirty-five million, six hundred forty-five thousand, six hundred forty-five".

Divisors: 1 5 929 1889 4645 9445 39209 196045 1754881 8774405 36425161 74065801 182125805 370329005 68807129129 344035645645