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34542521 = 13171491049
BaseRepresentation
bin1000001111000…
…1001110111001
32101222221102122
42003301032321
532320330041
63232211025
7566415026
oct203611671
971887378
1034542521
1118553342
12b699a75
137205780
14483254d
153074c4b
hex20f13b9

34542521 has 16 divisors (see below), whose sum is σ = 39690000. Its totient is φ = 29779968.

The previous prime is 34542511. The next prime is 34542523. The reversal of 34542521 is 12524543.

It is a happy number.

34542521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26896 + 34515625 = 164^2 + 5875^2 .

It is a cyclic number.

It is not a de Polignac number, because 34542521 - 26 = 34542457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34542523) 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 15 ways as a sum of consecutive naturals, for example, 32405 + ... + 33453.

It is an arithmetic number, because the mean of its divisors is an integer number (2480625).

Almost surely, 234542521 is an apocalyptic number.

It is an amenable number.

34542521 is a deficient number, since it is larger than the sum of its proper divisors (5147479).

34542521 is a wasteful number, since it uses less digits than its factorization.

34542521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228.

The product of its digits is 4800, while the sum is 26.

The square root of 34542521 is about 5877.2885755253. The cubic root of 34542521 is about 325.6751911831.

The spelling of 34542521 in words is "thirty-four million, five hundred forty-two thousand, five hundred twenty-one".

Divisors: 1 13 17 149 221 1049 1937 2533 13637 17833 32929 156301 231829 2031913 2657117 34542521