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34464272238 = 232112236311237
BaseRepresentation
bin100000000110001110…
…110000111101101110
310021221212121102121100
4200012032300331232
51031040323202423
623455504543530
72330025323544
oct400616607556
9107855542540
1034464272238
1113686201920
12681a021ba6
13333323c7c6
14194d2d3d94
15d6aa0b343
hex8063b0f6e

34464272238 has 96 divisors (see below), whose sum is σ = 82022234112. Its totient is φ = 10372017600.

The previous prime is 34464272233. The next prime is 34464272243. The reversal of 34464272238 is 83227246443.

34464272238 is a `hidden beast` number, since 344 + 6 + 4 + 2 + 72 + 238 = 666.

It is an interprime number because it is at equal distance from previous prime (34464272233) and next prime (34464272243).

It is a junction number, because it is equal to n+sod(n) for n = 34464272193 and 34464272202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34464272233) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27860556 + ... + 27861792.

It is an arithmetic number, because the mean of its divisors is an integer number (854398272).

Almost surely, 234464272238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34464272238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41011117056).

34464272238 is an abundant number, since it is smaller than the sum of its proper divisors (47557961874).

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

34464272238 is a wasteful number, since it uses less digits than its factorization.

34464272238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2107 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 34464272238 in words is "thirty-four billion, four hundred sixty-four million, two hundred seventy-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 223 446 631 669 1237 1262 1338 1893 2007 2453 2474 3711 3786 4014 4906 5679 6941 7359 7422 11133 11358 13607 13882 14718 20823 22077 22266 27214 40821 41646 44154 62469 81642 122463 124938 140713 244926 275851 281426 422139 551702 780547 827553 844278 1266417 1547843 1561094 1655106 2341641 2482659 2532834 3034361 3095686 4643529 4683282 4965318 6068722 7024923 8586017 9103083 9287058 13930587 14049846 17172034 18206166 25758051 27309249 27861174 51516102 54618498 77274153 154548306 174061981 348123962 522185943 1044371886 1566557829 1914681791 3133115658 3829363582 5744045373 11488090746 17232136119 34464272238