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34379993 = 29371792
BaseRepresentation
bin1000001100100…
…1100011011001
32101200200111002
42003021203121
532300124433
63224514345
7565140134
oct203114331
971620432
1034379993
111845221a
12b61b9b5
1371797bb
1447cd21b
1530419e8
hex20c98d9

34379993 has 12 divisors (see below), whose sum is σ = 36731940. Its totient is φ = 32116896.

The previous prime is 34379981. The next prime is 34380019. The reversal of 34379993 is 39997343.

It can be written as a sum of positive squares in 2 ways, for example, as 25120144 + 9259849 = 5012^2 + 3043^2 .

It is not a de Polignac number, because 34379993 - 26 = 34379929 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34379903) 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 in 11 ways as a sum of consecutive naturals, for example, 191978 + ... + 192156.

It is an arithmetic number, because the mean of its divisors is an integer number (3060995).

Almost surely, 234379993 is an apocalyptic number.

It is an amenable number.

34379993 is a deficient number, since it is larger than the sum of its proper divisors (2351947).

34379993 is an equidigital number, since it uses as much as digits as its factorization.

34379993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 245 counting only the distinct ones).

The product of its digits is 551124, while the sum is 47.

The square root of 34379993 is about 5863.4454887890. The cubic root of 34379993 is about 325.1636036249.

The spelling of 34379993 in words is "thirty-four million, three hundred seventy-nine thousand, nine hundred ninety-three".

Divisors: 1 29 37 179 1073 5191 6623 32041 192067 929189 1185517 34379993