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34055043 = 3111935347
BaseRepresentation
bin1000000111101…
…0001110000011
32101002011201220
42001322032003
532204230133
63213530123
7562314561
oct201721603
971064656
1034055043
1118250070
12b4a3943
137094919
144746a31
152eca5b3
hex207a383

34055043 has 16 divisors (see below), whose sum is σ = 49800576. Its totient is φ = 20528640.

The previous prime is 34055023. The next prime is 34055053.

It is a happy number.

34055043 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34055043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34055003) 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, 3696 + ... + 9042.

It is an arithmetic number, because the mean of its divisors is an integer number (3112536).

Almost surely, 234055043 is an apocalyptic number.

34055043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34055043 is a deficient number, since it is larger than the sum of its proper divisors (15745533).

34055043 is a wasteful number, since it uses less digits than its factorization.

34055043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 34055043 is about 5835.6698844263. The cubic root of 34055043 is about 324.1359073942.

It can be divided in two parts, 3405 and 5043, that added together give a palindrome (8448).

The spelling of 34055043 in words is "thirty-four million, fifty-five thousand, forty-three".

Divisors: 1 3 11 33 193 579 2123 5347 6369 16041 58817 176451 1031971 3095913 11351681 34055043