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34345255020 = 223515135310739
BaseRepresentation
bin11111111111001000…
…110000000001101100
310021122120122201200020
4133333020300001230
51030314341130040
623440014002140
72324051564556
oct377710600154
9107576581606
1034345255020
111362500148a
1267a61a6350
13331469b00b
14193b5924d6
15d6034bcd0
hex7ff23006c

34345255020 has 96 divisors (see below), whose sum is σ = 97086850560. Its totient is φ = 9071462400.

The previous prime is 34345254991. The next prime is 34345255037. The reversal of 34345255020 is 2055254343.

It is a happy number.

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, 3192811 + ... + 3203549.

It is an arithmetic number, because the mean of its divisors is an integer number (1011321360).

Almost surely, 234345255020 is an apocalyptic number.

34345255020 is a gapful number since it is divisible by the number (30) 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 34345255020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48543425280).

34345255020 is an abundant number, since it is smaller than the sum of its proper divisors (62741595540).

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

34345255020 is a wasteful number, since it uses less digits than its factorization.

34345255020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 34345255020 in words is "thirty-four billion, three hundred forty-five million, two hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 353 453 604 706 755 906 1059 1412 1510 1765 1812 2118 2265 3020 3530 4236 4530 5295 7060 9060 10590 10739 21180 21478 32217 42956 53303 53695 64434 106606 107390 128868 159909 161085 213212 214780 266515 319818 322170 533030 639636 644340 799545 1066060 1599090 1621589 3198180 3243178 3790867 4864767 6486356 7581734 8107945 9729534 11372601 15163468 16215890 18954335 19459068 22745202 24323835 32431780 37908670 45490404 48647670 56863005 75817340 97295340 113726010 227452020 572420917 1144841834 1717262751 2289683668 2862104585 3434525502 5724209170 6869051004 8586313755 11448418340 17172627510 34345255020