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34809329 is a prime number
BaseRepresentation
bin1000010011001…
…0010111110001
32102111111102102
42010302113301
532402344304
63242030145
7601605632
oct204622761
972444372
1034809329
1118715845
12b7a8355
13729a049
1448a1889
1530c8d1e
hex21325f1

34809329 has 2 divisors, whose sum is σ = 34809330. Its totient is φ = 34809328.

The previous prime is 34809301. The next prime is 34809337. The reversal of 34809329 is 92390843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29724304 + 5085025 = 5452^2 + 2255^2 .

It is an emirp because it is prime and its reverse (92390843) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34809329 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34809292 and 34809301.

It is not a weakly prime, because it can be changed into another prime (34809389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17404664 + 17404665.

It is an arithmetic number, because the mean of its divisors is an integer number (17404665).

Almost surely, 234809329 is an apocalyptic number.

It is an amenable number.

34809329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34809329 is an equidigital number, since it uses as much as digits as its factorization.

34809329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 34809329 is about 5899.9431353192. The cubic root of 34809329 is about 326.5115514894.

The spelling of 34809329 in words is "thirty-four million, eight hundred nine thousand, three hundred twenty-nine".