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34501933 is a prime number
BaseRepresentation
bin1000001110011…
…1010100101101
32101220212202101
42003213110231
532313030213
63231255101
7566155504
oct203472455
971825671
1034501933
11185258a4
12b67a491
1371c015b
14482183b
153067bdd
hex20e752d

34501933 has 2 divisors, whose sum is σ = 34501934. Its totient is φ = 34501932.

The previous prime is 34501927. The next prime is 34501937. The reversal of 34501933 is 33910543.

34501933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31326409 + 3175524 = 5597^2 + 1782^2 .

It is a cyclic number.

It is not a de Polignac number, because 34501933 - 29 = 34501421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34501937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17250966 + 17250967.

It is an arithmetic number, because the mean of its divisors is an integer number (17250967).

Almost surely, 234501933 is an apocalyptic number.

It is an amenable number.

34501933 is a deficient number, since it is larger than the sum of its proper divisors (1).

34501933 is an equidigital number, since it uses as much as digits as its factorization.

34501933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 34501933 is about 5873.8346078180. The cubic root of 34501933 is about 325.5475833828.

The spelling of 34501933 in words is "thirty-four million, five hundred one thousand, nine hundred thirty-three".