Search a number
-
+
34024233629 is a prime number
BaseRepresentation
bin11111101100000000…
…001001101010011101
310020211012121011010002
4133230000021222131
51024140200434004
623344105224045
72313103133261
oct375400115235
9106735534102
1034024233629
111347a87a351
126716792025
13329301cc29
14190aaaa0a1
15d4208961e
hex7ec009a9d

34024233629 has 2 divisors, whose sum is σ = 34024233630. Its totient is φ = 34024233628.

The previous prime is 34024233623. The next prime is 34024233667. The reversal of 34024233629 is 92633242043.

It is a happy number.

It is an a-pointer prime, because the next prime (34024233667) can be obtained adding 34024233629 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22770206404 + 11254027225 = 150898^2 + 106085^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34024233629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34024233592 and 34024233601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34024233623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17012116814 + 17012116815.

It is an arithmetic number, because the mean of its divisors is an integer number (17012116815).

Almost surely, 234024233629 is an apocalyptic number.

It is an amenable number.

34024233629 is a deficient number, since it is larger than the sum of its proper divisors (1).

34024233629 is an equidigital number, since it uses as much as digits as its factorization.

34024233629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 34024233629 in words is "thirty-four billion, twenty-four million, two hundred thirty-three thousand, six hundred twenty-nine".