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34142357 is a prime number
BaseRepresentation
bin1000001000111…
…1100010010101
32101020121111202
42002033202111
532220023412
63215442245
7563130254
oct202174225
971217452
1034142357
11182aa727
12b526385
1370c55a2
14476a79b
152ee63c2
hex208f895

34142357 has 2 divisors, whose sum is σ = 34142358. Its totient is φ = 34142356.

The previous prime is 34142333. The next prime is 34142359. The reversal of 34142357 is 75324143.

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., 20666116 + 13476241 = 4546^2 + 3671^2 .

It is an emirp because it is prime and its reverse (75324143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34142357 - 222 = 29948053 is a prime.

It is a super-5 number, since 5×341423575 (a number of 39 digits) contains 55555 as substring.

Together with 34142359, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2097533 and since 34142357 and 2097533 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34142359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17071178 + 17071179.

It is an arithmetic number, because the mean of its divisors is an integer number (17071179).

Almost surely, 234142357 is an apocalyptic number.

It is an amenable number.

34142357 is a deficient number, since it is larger than the sum of its proper divisors (1).

34142357 is an equidigital number, since it uses as much as digits as its factorization.

34142357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 29.

The square root of 34142357 is about 5843.1461559677. The cubic root of 34142357 is about 324.4126892054.

The spelling of 34142357 in words is "thirty-four million, one hundred forty-two thousand, three hundred fifty-seven".