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34440321645 = 32541127146983
BaseRepresentation
bin100000000100110011…
…011001101001101101
310021220012112121120100
4200010303121221231
51031013210243040
623453251341313
72326314622002
oct400463315155
9107805477510
1034440321645
1113673733444
126811bb1839
13332b2a5162
14194a05b8a9
15d68879b30
hex804cd9a6d

34440321645 has 48 divisors (see below), whose sum is σ = 61634506752. Its totient is φ = 17778942720.

The previous prime is 34440321631. The next prime is 34440321649. The reversal of 34440321645 is 54612304443.

34440321645 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 0 + 3 + 2 + 1 + 645 = 666.

It is not a de Polignac number, because 34440321645 - 214 = 34440305261 is a prime.

It is a super-3 number, since 3×344403216453 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440321649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160824 + ... + 307806.

It is an arithmetic number, because the mean of its divisors is an integer number (1284052224).

Almost surely, 234440321645 is an apocalyptic number.

It is an amenable number.

34440321645 is a deficient number, since it is larger than the sum of its proper divisors (27194185107).

34440321645 is a wasteful number, since it uses less digits than its factorization.

34440321645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147162 (or 147159 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34440321645 in words is "thirty-four billion, four hundred forty million, three hundred twenty-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 127 205 369 381 615 635 1143 1845 1905 5207 5715 15621 26035 46863 78105 146983 234315 440949 734915 1322847 2204745 6026303 6614235 18078909 18666841 30131515 54236727 56000523 90394545 93334205 168001569 271183635 280002615 765340481 840007845 2296021443 3826702405 6888064329 11480107215 34440321645