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34083937 is a prime number
BaseRepresentation
bin1000001000000…
…1010001100001
32101010122101001
42002001101201
532211141222
63214312001
7562465036
oct202012141
971118331
1034083937
111826a848
12b4b8601
1370a4b14
14475338d
152ed3e27
hex2081461

34083937 has 2 divisors, whose sum is σ = 34083938. Its totient is φ = 34083936.

The previous prime is 34083923. The next prime is 34083943. The reversal of 34083937 is 73938043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27029601 + 7054336 = 5199^2 + 2656^2 .

It is a cyclic number.

It is not a de Polignac number, because 34083937 - 27 = 34083809 is a prime.

It is a super-2 number, since 2×340839372 = 2323429522839938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34083896 and 34083905.

It is not a weakly prime, because it can be changed into another prime (34083947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17041968 + 17041969.

It is an arithmetic number, because the mean of its divisors is an integer number (17041969).

Almost surely, 234083937 is an apocalyptic number.

It is an amenable number.

34083937 is a deficient number, since it is larger than the sum of its proper divisors (1).

34083937 is an equidigital number, since it uses as much as digits as its factorization.

34083937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 34083937 is about 5838.1449964865. The cubic root of 34083937 is about 324.2275525133.

The spelling of 34083937 in words is "thirty-four million, eighty-three thousand, nine hundred thirty-seven".