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34355343 = 3112935899
BaseRepresentation
bin1000001100001…
…1100010001111
32101122102200010
42003003202033
532243332333
63224204303
7565005231
oct203034217
971572603
1034355343
1118435750
12b609693
13716b509
1447c4251
153039563
hex20c388f

34355343 has 16 divisors (see below), whose sum is σ = 51696000. Its totient is φ = 20102880.

The previous prime is 34355339. The next prime is 34355393.

34355343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34355343 - 22 = 34355339 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34355343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34355303) 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 15 ways as a sum of consecutive naturals, for example, 16993 + ... + 18906.

It is an arithmetic number, because the mean of its divisors is an integer number (3231000).

Almost surely, 234355343 is an apocalyptic number.

34355343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34355343 is a deficient number, since it is larger than the sum of its proper divisors (17340657).

34355343 is a wasteful number, since it uses less digits than its factorization.

34355343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35942.

The product of its digits is 32400, while the sum is 30.

The square root of 34355343 is about 5861.3431054665. The cubic root of 34355343 is about 325.0858723776.

It can be divided in two parts, 3435 and 5343, that added together give a palindrome (8778).

The spelling of 34355343 in words is "thirty-four million, three hundred fifty-five thousand, three hundred forty-three".

Divisors: 1 3 11 29 33 87 319 957 35899 107697 394889 1041071 1184667 3123213 11451781 34355343