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34007238029 is a prime number
BaseRepresentation
bin11111101010111111…
…010100010110001101
310020210000121200112102
4133222333110112031
51024121323104104
623342301044445
72312505516362
oct375277242615
9106700550472
1034007238029
11134712212a6
126710b56725
13328c64c16b
141908724469
15d4082da1e
hex7eafd458d

34007238029 has 2 divisors, whose sum is σ = 34007238030. Its totient is φ = 34007238028.

The previous prime is 34007237983. The next prime is 34007238037. The reversal of 34007238029 is 92083270043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24766261129 + 9240976900 = 157373^2 + 96130^2 .

It is a cyclic number.

It is not a de Polignac number, because 34007238029 - 220 = 34006189453 is a prime.

It is a super-2 number, since 2×340072380292 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34007237983 and 34007238001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34007228029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17003619014 + 17003619015.

It is an arithmetic number, because the mean of its divisors is an integer number (17003619015).

Almost surely, 234007238029 is an apocalyptic number.

It is an amenable number.

34007238029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007238029 is an equidigital number, since it uses as much as digits as its factorization.

34007238029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 34007238029 in words is "thirty-four billion, seven million, two hundred thirty-eight thousand, twenty-nine".