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34434261 = 333313853
BaseRepresentation
bin1000001101011…
…0110011010101
32101210102221000
42003112303111
532303344021
63230013513
7565454301
oct203266325
971712830
1034434261
1118489a74
12b647299
137198404
144804d01
153052b26
hex20d6cd5

34434261 has 16 divisors (see below), whose sum is σ = 51181120. Its totient is φ = 22880880.

The previous prime is 34434247. The next prime is 34434263. The reversal of 34434261 is 16243443.

34434261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34434261 - 27 = 34434133 is a prime.

It is a super-2 number, since 2×344342612 = 2371436661232242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434263) 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, 7011 + ... + 10863.

It is an arithmetic number, because the mean of its divisors is an integer number (3198820).

Almost surely, 234434261 is an apocalyptic number.

It is an amenable number.

34434261 is a deficient number, since it is larger than the sum of its proper divisors (16746859).

34434261 is a wasteful number, since it uses less digits than its factorization.

34434261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4187 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34434261 is about 5868.0713185850. The cubic root of 34434261 is about 325.3346013520.

The spelling of 34434261 in words is "thirty-four million, four hundred thirty-four thousand, two hundred sixty-one".

Divisors: 1 3 9 27 331 993 2979 3853 8937 11559 34677 104031 1275343 3826029 11478087 34434261