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342965871160 = 235111515479437
BaseRepresentation
bin1001111110110100101…
…10111110001000111000
31012210020212210102121121
410333122112332020320
521104343230334120
6421320100515024
733531004543003
oct4773226761070
91183225712547
10342965871160
111224a6325230
12565766aba74
13264594a6303
141285759053a
158dc47475aa
hex4fda5be238

342965871160 has 128 divisors (see below), whose sum is σ = 849039459840. Its totient is φ = 123649344000.

The previous prime is 342965871091. The next prime is 342965871163. The reversal of 342965871160 is 61178569243.

It is a junction number, because it is equal to n+sod(n) for n = 342965871098 and 342965871107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342965871163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36337962 + ... + 36347398.

It is an arithmetic number, because the mean of its divisors is an integer number (6633120780).

It is a 2-persistent number, because it is pandigital, and so is 2⋅342965871160 = 685931742320, but 3⋅342965871160 = 1028897613480 is not.

Almost surely, 2342965871160 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 342965871160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424519729920).

342965871160 is an abundant number, since it is smaller than the sum of its proper divisors (506073588680).

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

342965871160 is a wasteful number, since it uses less digits than its factorization.

342965871160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10157 (or 10153 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 342965871160 in words is "three hundred forty-two billion, nine hundred sixty-five million, eight hundred seventy-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 547 604 755 1094 1208 1510 1661 2188 2735 3020 3322 4376 5470 6017 6040 6644 8305 9437 10940 12034 13288 16610 18874 21880 24068 30085 33220 37748 47185 48136 60170 66440 75496 82597 94370 103807 120340 165194 188740 207614 240680 330388 377480 412985 415228 519035 660776 825970 830456 908567 1038070 1424987 1651940 1817134 2076140 2849974 3303880 3634268 4152280 4542835 5162039 5699948 7124935 7268536 9085670 10324078 11399896 14249870 15674857 18171340 20648156 25810195 28499740 31349714 36342680 41296312 51620390 56782429 56999480 62699428 78374285 103240780 113564858 125398856 156748570 206481560 227129716 283912145 313497140 454259432 567824290 626994280 779467889 1135648580 1558935778 2271297160 3117871556 3897339445 6235743112 7794678890 8574146779 15589357780 17148293558 31178715560 34296587116 42870733895 68593174232 85741467790 171482935580 342965871160