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343213133232 = 243711071277411
BaseRepresentation
bin1001111111010010001…
…10001100110110110000
31012210220010001122102010
410333221012030312300
521110400030230412
6421400412322520
733540066332454
oct4775106146660
91183803048363
10343213133232
11122612958952
1256625473440
132649879a728
141287c356664
158ddb2da33c
hex4fe918cdb0

343213133232 has 160 divisors (see below), whose sum is σ = 914794020864. Its totient is φ = 110844115200.

The previous prime is 343213133213. The next prime is 343213133257. The reversal of 343213133232 is 232331312343.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 343213133232.

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, 46307607 + ... + 46315017.

Almost surely, 2343213133232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343213133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457397010432).

343213133232 is an abundant number, since it is smaller than the sum of its proper divisors (571580887632).

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

343213133232 is a wasteful number, since it uses less digits than its factorization.

343213133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7727 (or 7721 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 343213133232 its reverse (232331312343), we get a palindrome (575544445575).

The spelling of 343213133232 in words is "three hundred forty-three billion, two hundred thirteen million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 107 127 142 213 214 254 284 321 381 426 428 508 568 642 762 852 856 1016 1136 1284 1524 1704 1712 2032 2568 3048 3408 5136 6096 7411 7597 9017 13589 14822 15194 18034 22233 22791 27051 27178 29644 30388 36068 40767 44466 45582 54102 54356 59288 60776 72136 81534 88932 91164 108204 108712 118576 121552 144272 163068 177864 182328 216408 217424 326136 355728 364656 432816 526181 652272 792977 941197 964819 1052362 1578543 1585954 1882394 1929638 2104724 2378931 2823591 2894457 3157086 3171908 3764788 3859276 4209448 4757862 5647182 5788914 6314172 6343816 7529576 7718552 8418896 9515724 11294364 11577828 12628344 12687632 15059152 15437104 19031448 22588728 23155656 25256688 38062896 45177456 46311312 56301367 66824987 100708079 112602734 133649974 168904101 200474961 201416158 225205468 267299948 302124237 337808202 400949922 402832316 450410936 534599896 604248474 675616404 801899844 805664632 900821872 1069199792 1208496948 1351232808 1603799688 1611329264 2416993896 2702465616 3207599376 4833987792 7150273609 14300547218 21450820827 28601094436 42901641654 57202188872 85803283308 114404377744 171606566616 343213133232