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34582057 is a prime number
BaseRepresentation
bin1000001111101…
…0111000101001
32102001221122221
42003322320221
532323111212
63233114041
7566641216
oct203727051
972057587
1034582057
1118580014
12b6b8921
13721a773
144842b0d
153081807
hex20fae29

34582057 has 2 divisors, whose sum is σ = 34582058. Its totient is φ = 34582056.

The previous prime is 34582003. The next prime is 34582073. The reversal of 34582057 is 75028543.

It is a happy number.

34582057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30239001 + 4343056 = 5499^2 + 2084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34582057 is a prime.

It is not a weakly prime, because it can be changed into another prime (34582157) 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 as a sum of consecutive naturals, namely, 17291028 + 17291029.

It is an arithmetic number, because the mean of its divisors is an integer number (17291029).

Almost surely, 234582057 is an apocalyptic number.

It is an amenable number.

34582057 is a deficient number, since it is larger than the sum of its proper divisors (1).

34582057 is an equidigital number, since it uses as much as digits as its factorization.

34582057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 34582057 is about 5880.6510693970. The cubic root of 34582057 is about 325.7993954459.

The spelling of 34582057 in words is "thirty-four million, five hundred eighty-two thousand, fifty-seven".