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342560560356 = 223272397489157
BaseRepresentation
bin1001111110000100011…
…00110101010011100100
31012202012122010111201100
410333002030311103210
521103031000412411
6421211541400100
733514653501600
oct4770214652344
91182178114640
10342560560356
11122308562223
1256482a09030
13263c3525631
1412819806500
158d9dd85456
hex4fc23354e4

342560560356 has 108 divisors (see below), whose sum is σ = 1009830493308. Its totient is φ = 97627711104.

The previous prime is 342560560339. The next prime is 342560560373. The reversal of 342560560356 is 653065065243.

342560560356 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 605 + 6 + 0 + 35 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (342560560339) and next prime (342560560373).

It can be written as a sum of positive squares in 2 ways, for example, as 142408116900 + 200152443456 = 377370^2 + 447384^2 .

It is a super-2 number, since 2×3425605603562 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 455730 + ... + 944886.

Almost surely, 2342560560356 is an apocalyptic number.

342560560356 is a gapful number since it is divisible by the number (36) 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 342560560356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504915246654).

342560560356 is an abundant number, since it is smaller than the sum of its proper divisors (667269932952).

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

342560560356 is a wasteful number, since it uses less digits than its factorization.

342560560356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489578 (or 489566 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 342560560356 in words is "three hundred forty-two billion, five hundred sixty million, five hundred sixty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 397 441 588 794 882 1191 1588 1764 2382 2779 3573 4764 5558 7146 8337 11116 14292 16674 19453 25011 33348 38906 50022 58359 77812 100044 116718 175077 233436 350154 489157 700308 978314 1467471 1956628 2934942 3424099 4402413 5869884 6848198 8804826 10272297 13696396 17609652 20544594 23968693 30816891 41089188 47937386 61633782 71906079 95874772 123267564 143812158 194195329 215718237 287624316 388390658 431436474 582585987 776781316 862872948 1165171974 1359367303 1747757961 2330343948 2718734606 3495515922 4078101909 5437469212 6991031844 8156203818 9515571121 12234305727 16312407636 19031142242 24468611454 28546713363 38062284484 48937222908 57093426726 85640140089 114186853452 171280280178 342560560356