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334305350145 = 3451363495793
BaseRepresentation
bin1001101110101100010…
…01101101001000000001
31011221220022111101020000
410313112021231020001
520434124132201040
6413324443510213
733103253406414
oct4672611551001
91157808441200
10334305350145
11119861722648
125495a228369
13256a9167470
14122752a7b7b
158a69277130
hex4dd626d201

334305350145 has 40 divisors (see below), whose sum is σ = 645371250216. Its totient is φ = 164581092864.

The previous prime is 334305350123. The next prime is 334305350153. The reversal of 334305350145 is 541053503433.

334305350145 is a `hidden beast` number, since 3 + 34 + 30 + 53 + 501 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22619859201 + 311685490944 = 150399^2 + 558288^2 .

It is not a de Polignac number, because 334305350145 - 27 = 334305350017 is a prime.

It is a super-2 number, since 2×3343053501452 (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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31742632 + ... + 31753161.

Almost surely, 2334305350145 is an apocalyptic number.

It is an amenable number.

334305350145 is a deficient number, since it is larger than the sum of its proper divisors (311065900071).

334305350145 is a wasteful number, since it uses less digits than its factorization.

334305350145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63495823 (or 63495814 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 334305350145 its reverse (541053503433), we get a palindrome (875358853578).

The spelling of 334305350145 in words is "three hundred thirty-four billion, three hundred five million, three hundred fifty thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 63495793 190487379 317478965 571462137 825445309 952436895 1714386411 2476335927 2857310685 4127226545 5143159233 7429007781 8571932055 12381679635 22287023343 25715796165 37145038905 66861070029 111435116715 334305350145