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34001311 = 291637193
BaseRepresentation
bin1000000110110…
…1000110011111
32100222110000211
42001231012133
532201020221
63212433251
7562002121
oct201550637
970873024
1034001311
1118213763
12b478827
137076326
144731211
152eb96e1
hex206d19f

34001311 has 8 divisors (see below), whose sum is σ = 35394480. Its totient is φ = 32622912.

The previous prime is 34001299. The next prime is 34001321. The reversal of 34001311 is 11310043.

34001311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34001311 - 27 = 34001183 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34001291 and 34001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1131 + ... + 8323.

It is an arithmetic number, because the mean of its divisors is an integer number (4424310).

Almost surely, 234001311 is an apocalyptic number.

34001311 is a deficient number, since it is larger than the sum of its proper divisors (1393169).

34001311 is a wasteful number, since it uses less digits than its factorization.

34001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 34001311 is about 5831.0643110842. The cubic root of 34001311 is about 323.9653439282.

Adding to 34001311 its reverse (11310043), we get a palindrome (45311354).

The spelling of 34001311 in words is "thirty-four million, one thousand, three hundred eleven".

Divisors: 1 29 163 4727 7193 208597 1172459 34001311