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342324671617032 = 233135698539225821
BaseRepresentation
bin100110111010101111010110…
…0011100110001100000001000
31122220001220210221122110221120
41031311132230130301200020
5324332121411413221112
63212021441053035240
7132051066325334046
oct11565365434614010
91586056727573846
10342324671617032
119a091094818715
1232488993a85b20
1311902102540cb0
146076861409396
1529899b4b70e8c
hex13757ac731808

342324671617032 has 128 divisors (see below), whose sum is σ = 923375318544000. Its totient is φ = 105132773652480.

The previous prime is 342324671617009. The next prime is 342324671617037. The reversal of 342324671617032 is 230716176423243.

It is not an unprimeable number, because it can be changed into a prime (342324671617037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1515798682 + ... + 1516024502.

It is an arithmetic number, because the mean of its divisors is an integer number (7213869676125).

Almost surely, 2342324671617032 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 342324671617032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461687659272000).

342324671617032 is an abundant number, since it is smaller than the sum of its proper divisors (581050646926968).

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

342324671617032 is a wasteful number, since it uses less digits than its factorization.

342324671617032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234951 (or 234947 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 342324671617032 in words is "three hundred forty-two trillion, three hundred twenty-four billion, six hundred seventy-one million, six hundred seventeen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 569 1138 1707 2276 3414 4552 6828 7397 8539 13656 14794 17078 22191 25617 29588 34156 44382 51234 59176 68312 88764 102468 111007 177528 204936 222014 225821 333021 444028 451642 666042 677463 888056 903284 1332084 1354926 1806568 2664168 2709852 2935673 4858691 5419704 5871346 8807019 9717382 11742692 14576073 17614038 19434764 23485384 29152146 35228076 38869528 58304292 63162983 70456152 116608584 126325966 128492149 189488949 252651932 256984298 378977898 385476447 505303864 513968596 757955796 770952894 1027937192 1515911592 1541905788 1670397937 1928285519 3083811576 3340795874 3856571038 5011193811 5784856557 6681591748 7713142076 10022387622 11569713114 13363183496 15426284152 20044775244 23139426228 25067711747 40089550488 46278852456 50135423494 75203135241 100270846988 150406270482 200541693976 300812540964 601625081928 1097194460311 2194388920622 3291583380933 4388777841244 6583166761866 8777555682488 13166333523732 14263527984043 26332667047464 28527055968086 42790583952129 57054111936172 85581167904258 114108223872344 171162335808516 342324671617032