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34042554 = 23272132969
BaseRepresentation
bin1000000111011…
…1001010111010
32101001112121100
42001313022322
532203330204
63213352230
7562233300
oct201671272
971045540
1034042554
1118241747
12b498676
13708c030
144742270
152ec6a39
hex20772ba

34042554 has 72 divisors (see below), whose sum is σ = 92432340. Its totient is φ = 8975232.

The previous prime is 34042531. The next prime is 34042559. The reversal of 34042554 is 45524043.

34042554 is a `hidden beast` number, since 3 + 404 + 255 + 4 = 666.

34042554 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24770529 + 9272025 = 4977^2 + 3045^2 .

It is not an unprimeable number, because it can be changed into a prime (34042559) 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 35 ways as a sum of consecutive naturals, for example, 9982 + ... + 12950.

Almost surely, 234042554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34042554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46216170).

34042554 is an abundant number, since it is smaller than the sum of its proper divisors (58389786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34042554 is a wasteful number, since it uses less digits than its factorization.

34042554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 34042554 is about 5834.5997292017. The cubic root of 34042554 is about 324.0962791146.

Adding to 34042554 its reverse (45524043), we get a palindrome (79566597).

It can be divided in two parts, 34042 and 554, that added together give a square (34596 = 1862).

The spelling of 34042554 in words is "thirty-four million, forty-two thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 2969 3822 5733 5938 8907 11466 17814 20783 26721 38597 41566 53442 62349 77194 115791 124698 145481 187047 231582 270179 290962 347373 374094 436443 540358 694746 810537 872886 1309329 1621074 1891253 2431611 2618658 3782506 4863222 5673759 11347518 17021277 34042554