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34144145 = 571735639
BaseRepresentation
bin1000001000111…
…1111110010001
32101020200221222
42002033332101
532220103040
63215454425
7563135420
oct202177621
971220858
1034144145
1118301002
12b527415
1370c6349
14476b2b7
152ee6bb5
hex208ff91

34144145 has 16 divisors (see below), whose sum is σ = 47105280. Its totient is φ = 23273664.

The previous prime is 34144093. The next prime is 34144151. The reversal of 34144145 is 54144143.

It is a happy number.

34144145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34144145 - 212 = 34140049 is a prime.

It is a super-3 number, since 3×341441453 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3236 + ... + 8874.

It is an arithmetic number, because the mean of its divisors is an integer number (2944080).

Almost surely, 234144145 is an apocalyptic number.

34144145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34144145 is a deficient number, since it is larger than the sum of its proper divisors (12961135).

34144145 is a wasteful number, since it uses less digits than its factorization.

34144145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824.

The product of its digits is 3840, while the sum is 26.

The square root of 34144145 is about 5843.2991537316. The cubic root of 34144145 is about 324.4183521591.

Adding to 34144145 its reverse (54144143), we get a palindrome (88288288).

The spelling of 34144145 in words is "thirty-four million, one hundred forty-four thousand, one hundred forty-five".

Divisors: 1 5 7 35 173 865 1211 5639 6055 28195 39473 197365 975547 4877735 6828829 34144145