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34213031244 = 223271131201469
BaseRepresentation
bin11111110111010000…
…010110110101001100
310021022100212001202100
4133313100112311030
51030032013444434
623414531555100
72320554652530
oct376720266514
9107270761670
1034213031244
1113567400837
126769a5ba90
1332c31842b2
141927bb3bc0
15d5392e699
hex7f7416d4c

34213031244 has 72 divisors (see below), whose sum is σ = 99712398240. Its totient is φ = 9688637952.

The previous prime is 34213031243. The next prime is 34213031263. The reversal of 34213031244 is 44213031243.

34213031244 is a `hidden beast` number, since 342 + 1 + 3 + 0 + 312 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (34213031243) 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, 572259 + ... + 629210.

It is an arithmetic number, because the mean of its divisors is an integer number (1384894420).

Almost surely, 234213031244 is an apocalyptic number.

It is an amenable number.

34213031244 is an abundant number, since it is smaller than the sum of its proper divisors (65499366996).

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

34213031244 is a wasteful number, since it uses less digits than its factorization.

34213031244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201599 (or 1201594 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34213031244 its reverse (44213031243), we get a palindrome (78426062487).

Subtracting 34213031244 from its reverse (44213031243), we obtain a palindrome (9999999999).

The spelling of 34213031244 in words is "thirty-four billion, two hundred thirteen million, thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 28476 1201469 2402938 3604407 4805876 7208814 8410283 10813221 14417628 16820566 21626442 25230849 33641132 43252884 50461698 75692547 100923396 135765997 151385094 271531994 302770188 407297991 543063988 814595982 950361979 1221893973 1629191964 1900723958 2443787946 2851085937 3801447916 4887575892 5702171874 8553257811 11404343748 17106515622 34213031244