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34506131 = 1131472153
BaseRepresentation
bin1000001110100…
…0010110010011
32101221002111212
42003220112103
532313144011
63231330335
7566203652
oct203502623
971832455
1034506131
1118528a70
12b6809ab
1371c203a
144823199
15306908b
hex20e8593

34506131 has 16 divisors (see below), whose sum is σ = 39702528. Its totient is φ = 29697600.

The previous prime is 34506119. The next prime is 34506137. The reversal of 34506131 is 13160543.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34506131 is a prime.

It is a super-2 number, since 2×345061312 = 2381346153178322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34506097 and 34506106.

It is not an unprimeable number, because it can be changed into a prime (34506137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14951 + ... + 17103.

It is an arithmetic number, because the mean of its divisors is an integer number (2481408).

Almost surely, 234506131 is an apocalyptic number.

34506131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34506131 is a deficient number, since it is larger than the sum of its proper divisors (5196397).

34506131 is a wasteful number, since it uses less digits than its factorization.

34506131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 34506131 is about 5874.1919444295. The cubic root of 34506131 is about 325.5607864434.

Adding to 34506131 its reverse (13160543), we get a palindrome (47666674).

The spelling of 34506131 in words is "thirty-four million, five hundred six thousand, one hundred thirty-one".

Divisors: 1 11 31 47 341 517 1457 2153 16027 23683 66743 101191 734173 1113101 3136921 34506131