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334014324030 = 23454110057643
BaseRepresentation
bin1001101110001001100…
…11100001110100111110
31011221011000212201110000
410313010303201310332
520433030131332110
6413235530055130
733063120623652
oct4670463416476
91157130781400
10334014324030
111197224183a2
125489887a4a6
1325660a8c16a
141224878ca62
158a4d93c1c0
hex4dc4ce1d3e

334014324030 has 80 divisors (see below), whose sum is σ = 920033042544. Its totient is φ = 86898026880.

The previous prime is 334014323963. The next prime is 334014324067. The reversal of 334014324030 is 30423410433.

334014324030 is a `hidden beast` number, since 334 + 0 + 1 + 4 + 324 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×3340143240302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334014323985 and 334014324003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4995612 + ... + 5062031.

Almost surely, 2334014324030 is an apocalyptic number.

334014324030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

334014324030 is an abundant number, since it is smaller than the sum of its proper divisors (586018718514).

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

334014324030 is a wasteful number, since it uses less digits than its factorization.

334014324030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057703 (or 10057694 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 334014324030 its reverse (30423410433), we get a palindrome (364437734463).

The spelling of 334014324030 in words is "three hundred thirty-four billion, fourteen million, three hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 1107 1230 1845 2214 3321 3690 5535 6642 11070 16605 33210 10057643 20115286 30172929 50288215 60345858 90518787 100576430 150864645 181037574 271556361 301729290 412363363 452593935 543112722 814669083 824726726 905187870 1237090089 1357781805 1629338166 2061816815 2474180178 2715563610 3711270267 4073345415 4123633630 6185450445 7422540534 8146690830 11133810801 12370900890 18556351335 22267621602 33401432403 37112702670 55669054005 66802864806 111338108010 167007162015 334014324030