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234768867432 = 2331131101284023
BaseRepresentation
bin1101101010100101010…
…0001010000001101000
3211102222110001011011020
43122221110022001220
512321301312224212
6255503515332440
722650535306311
oct3325124120150
9742873034136
10234768867432
11906239a5990
12395bb751120
13191a56a8208
14b511a23608
156190a9ad8c
hex36a950a068

234768867432 has 128 divisors (see below), whose sum is σ = 667479121920. Its totient is φ = 68165280000.

The previous prime is 234768867397. The next prime is 234768867451.

It is a happy number.

234768867432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2347688674322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684573 + ... + 968595.

It is an arithmetic number, because the mean of its divisors is an integer number (5214680640).

Almost surely, 2234768867432 is an apocalyptic number.

234768867432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234768867432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333739560960).

234768867432 is an abundant number, since it is smaller than the sum of its proper divisors (432710254488).

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

234768867432 is a wasteful number, since it uses less digits than its factorization.

234768867432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284175 (or 284171 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 234768867432 in words is "two hundred thirty-four billion, seven hundred sixty-eight million, eight hundred sixty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 101 124 132 186 202 248 264 303 341 372 404 606 682 744 808 1023 1111 1212 1364 2046 2222 2424 2728 3131 3333 4092 4444 6262 6666 8184 8888 9393 12524 13332 18786 25048 26664 34441 37572 68882 75144 103323 137764 206646 275528 284023 413292 568046 826584 852069 1136092 1704138 2272184 3124253 3408276 6248506 6816552 8804713 9372759 12497012 17609426 18745518 24994024 26414139 28686323 35218852 37491036 52828278 57372646 70437704 74982072 86058969 96851843 105656556 114745292 172117938 193703686 211313112 229490584 290555529 315549553 344235876 387407372 581111058 631099106 688471752 774814744 889276013 946648659 1162222116 1262198212 1778552026 1893297318 2324444232 2524396424 2667828039 3557104052 3786594636 5335656078 7114208104 7573189272 9782036143 10671312156 19564072286 21342624312 29346108429 39128144572 58692216858 78256289144 117384433716 234768867432