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29345438322 = 2344323132
BaseRepresentation
bin11011010101000111…
…111101101001110010
32210202010121201120000
4123111013331221302
5440044413011242
621251530330430
72056131052524
oct332507755162
983663551500
1029345438322
111149980a172
12582b889a16
1329c88a49b5
1415c553ba14
15b6b42ea4c
hex6d51fda72

29345438322 has 90 divisors (see below), whose sum is σ = 67536047997. Its totient is φ = 9523803744.

The previous prime is 29345438321. The next prime is 29345438323. The reversal of 29345438322 is 22383454392.

29345438322 is a `hidden beast` number, since 2 + 9 + 3 + 4 + 543 + 83 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (29345438321) and next prime (29345438323).

It can be written as a sum of positive squares in 2 ways, for example, as 17009115561 + 12336322761 = 130419^2 + 111069^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=121131.

It is a super-2 number, since 2×293454383222 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29345438321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 93755238 + ... + 93755550.

Almost surely, 229345438322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29345438322

29345438322 is an abundant number, since it is smaller than the sum of its proper divisors (38190609675).

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

29345438322 is an frugal number, since it uses more digits than its factorization.

29345438322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 361 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

It can be divided in two parts, 293454 and 38322, that added together give a 4-th power (331776 = 244).

The spelling of 29345438322 in words is "twenty-nine billion, three hundred forty-five million, four hundred thirty-eight thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 313 387 626 774 939 1161 1849 1878 2322 2817 3483 3698 5547 5634 6966 8451 11094 13459 16641 16902 25353 26918 33282 40377 49923 50706 80754 97969 99846 121131 149769 195938 242262 293907 299538 363393 578737 587814 726786 881721 1090179 1157474 1736211 1763442 2180358 2645163 3472422 4212667 5208633 5290326 7935489 8425334 10417266 12638001 15625899 15870978 25276002 31251798 37914003 46877697 75828006 93755394 113742009 181144681 227484018 341226027 362289362 543434043 682452054 1086868086 1630302129 3260604258 4890906387 9781812774 14672719161 29345438322