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34413817 is a prime number
BaseRepresentation
bin1000001101000…
…1110011111001
32101202101212211
42003101303321
532302220232
63225335121
7565340554
oct203216371
971671784
1034413817
1118475679
12b6374a1
13718c009
1447db69b
15304ba47
hex20d1cf9

34413817 has 2 divisors, whose sum is σ = 34413818. Its totient is φ = 34413816.

The previous prime is 34413809. The next prime is 34413829. The reversal of 34413817 is 71831443.

34413817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23464336 + 10949481 = 4844^2 + 3309^2 .

It is a cyclic number.

It is not a de Polignac number, because 34413817 - 23 = 34413809 is a prime.

It is not a weakly prime, because it can be changed into another prime (34413877) 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, 17206908 + 17206909.

It is an arithmetic number, because the mean of its divisors is an integer number (17206909).

Almost surely, 234413817 is an apocalyptic number.

It is an amenable number.

34413817 is a deficient number, since it is larger than the sum of its proper divisors (1).

34413817 is an equidigital number, since it uses as much as digits as its factorization.

34413817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

The square root of 34413817 is about 5866.3290906665. The cubic root of 34413817 is about 325.2702036938.

It can be divided in two parts, 344 and 13817, that added together give a square (14161 = 1192).

The spelling of 34413817 in words is "thirty-four million, four hundred thirteen thousand, eight hundred seventeen".