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34068025180 = 22572101491701
BaseRepresentation
bin11111101110100111…
…001100111101011100
310020221020222222211101
4133232213030331130
51024232403301210
623352312002444
72314144302400
oct375647147534
9106836888741
1034068025180
11134a256a612
126729390424
13329c1134a7
141912829100
15d45d39a3a
hex7ee9ccf5c

34068025180 has 144 divisors (see below), whose sum is σ = 84338628192. Its totient is φ = 11524800000.

The previous prime is 34068025133. The next prime is 34068025193. The reversal of 34068025180 is 8152086043.

It is a happy number.

It is a super-2 number, since 2×340680251802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48598830 + ... + 48599530.

It is an arithmetic number, because the mean of its divisors is an integer number (585684918).

Almost surely, 234068025180 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 34068025180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42169314096).

34068025180 is an abundant number, since it is smaller than the sum of its proper divisors (50270603012).

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

34068025180 is a wasteful number, since it uses less digits than its factorization.

34068025180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 34068025180 in words is "thirty-four billion, sixty-eight million, twenty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 491 505 701 707 980 982 1010 1402 1414 1964 2020 2455 2804 2828 3437 3505 3535 4907 4910 4949 6874 7010 7070 9814 9820 9898 13748 14020 14140 17185 19628 19796 24059 24535 24745 34349 34370 48118 49070 49490 49591 68698 68740 70801 96236 98140 98980 99182 120295 137396 141602 171745 198364 240590 247955 283204 343490 344191 347137 354005 481180 495607 495910 686980 688382 694274 708010 991214 991820 1376764 1388548 1416020 1720955 1735685 1982428 2409337 2429959 2478035 3441910 3469249 3471370 4818674 4859918 4956070 6883820 6938498 6942740 9637348 9719836 9912140 12046685 12149795 13876996 16865359 17346245 24093370 24299590 33730718 34692490 34763291 48186740 48599180 67461436 69384980 69526582 84326795 139053164 168653590 173816455 243343037 337307180 347632910 486686074 695265820 973372148 1216715185 1703401259 2433430370 3406802518 4866860740 6813605036 8517006295 17034012590 34068025180