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34057353 = 3113727893
BaseRepresentation
bin1000000111101…
…0110010001001
32101002021220110
42001322302021
532204313403
63213544533
7562324401
oct201726211
971067813
1034057353
1118251880
12b4a5149
1370959a5
144747801
152ecb103
hex207ac89

34057353 has 16 divisors (see below), whose sum is σ = 50878656. Its totient is φ = 20082240.

The previous prime is 34057349. The next prime is 34057391. The reversal of 34057353 is 35375043.

It is not a de Polignac number, because 34057353 - 22 = 34057349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34057353.

It is not an unprimeable number, because it can be changed into a prime (34057393) 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, 12726 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (3179916).

Almost surely, 234057353 is an apocalyptic number.

34057353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34057353 is a deficient number, since it is larger than the sum of its proper divisors (16821303).

34057353 is a wasteful number, since it uses less digits than its factorization.

34057353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27944.

The product of its (nonzero) digits is 18900, while the sum is 30.

The square root of 34057353 is about 5835.8678017926. The cubic root of 34057353 is about 324.1432360887.

The spelling of 34057353 in words is "thirty-four million, fifty-seven thousand, three hundred fifty-three".

Divisors: 1 3 11 33 37 111 407 1221 27893 83679 306823 920469 1032041 3096123 11352451 34057353