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34380269 = 711521857
BaseRepresentation
bin1000001100100…
…1100111101101
32101200200212022
42003021213231
532300132034
63224515525
7565141010
oct203114755
971620768
1034380269
1118452450
12b61bba5
137179971
1447cd377
153041b2e
hex20c99ed

34380269 has 16 divisors (see below), whose sum is σ = 42996096. Its totient is φ = 26707200.

The previous prime is 34380257. The next prime is 34380301. The reversal of 34380269 is 96208343.

It is a happy number.

34380269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34380269 is a prime.

It is a super-4 number, since 4×343802694 (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34380169) 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 15 ways as a sum of consecutive naturals, for example, 39689 + ... + 40545.

It is an arithmetic number, because the mean of its divisors is an integer number (2687256).

Almost surely, 234380269 is an apocalyptic number.

It is an amenable number.

34380269 is a deficient number, since it is larger than the sum of its proper divisors (8615827).

34380269 is a wasteful number, since it uses less digits than its factorization.

34380269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396.

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 34380269 is about 5863.4690243916. The cubic root of 34380269 is about 325.1644737522.

The spelling of 34380269 in words is "thirty-four million, three hundred eighty thousand, two hundred sixty-nine".

Divisors: 1 7 11 77 521 857 3647 5731 5999 9427 40117 65989 446497 3125479 4911467 34380269