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34120001 is a prime number
BaseRepresentation
bin1000001000101…
…0000101000001
32101012110211202
42002022011001
532213320001
63215150545
7563005136
oct202120501
971173752
1034120001
1118294953
12b515455
1370b8366
14476258d
152ede96b
hex208a141

34120001 has 2 divisors, whose sum is σ = 34120002. Its totient is φ = 34120000.

The previous prime is 34119989. The next prime is 34120013. The reversal of 34120001 is 10002143.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (34119989) and next prime (34120013).

It can be written as a sum of positive squares in only one way, i.e., 32092225 + 2027776 = 5665^2 + 1424^2 .

It is a cyclic number.

It is not a de Polignac number, because 34120001 - 210 = 34118977 is a prime.

It is not a weakly prime, because it can be changed into another prime (34120061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060000 + 17060001.

It is an arithmetic number, because the mean of its divisors is an integer number (17060001).

Almost surely, 234120001 is an apocalyptic number.

It is an amenable number.

34120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34120001 is an equidigital number, since it uses as much as digits as its factorization.

34120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 34120001 is about 5841.2328322025. The cubic root of 34120001 is about 324.3418665845.

Adding to 34120001 its reverse (10002143), we get a palindrome (44122144).

The spelling of 34120001 in words is "thirty-four million, one hundred twenty thousand, one".