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34333417 = 13921777
BaseRepresentation
bin1000001011111…
…0001011101001
32101121022121001
42002332023221
532242132132
63223515001
7564554266
oct202761351
971538531
1034333417
1118420228
12b5b8a61
137161541
1447ba26d
153032ce7
hex20be2e9

34333417 has 6 divisors (see below), whose sum is σ = 34601658. Its totient is φ = 34067232.

The previous prime is 34333391. The next prime is 34333427. The reversal of 34333417 is 71433343.

34333417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29387241 + 4946176 = 5421^2 + 2224^2 .

It is not a de Polignac number, because 34333417 - 27 = 34333289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34333427) 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 in 5 ways as a sum of consecutive naturals, for example, 18433 + ... + 20209.

It is an arithmetic number, because the mean of its divisors is an integer number (5766943).

Almost surely, 234333417 is an apocalyptic number.

It is an amenable number.

34333417 is a deficient number, since it is larger than the sum of its proper divisors (268241).

34333417 is an equidigital number, since it uses as much as digits as its factorization.

34333417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 1916 counting only the distinct ones).

The product of its digits is 9072, while the sum is 28.

The square root of 34333417 is about 5859.4724165235. The cubic root of 34333417 is about 325.0166997336.

The spelling of 34333417 in words is "thirty-four million, three hundred thirty-three thousand, four hundred seventeen".

Divisors: 1 139 1777 19321 247003 34333417