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54103434 = 23711181647
BaseRepresentation
bin1100111001100…
…0110110001010
310202210201221220
43032120312022
5102322302214
65211342510
71224604650
oct316306612
9122721856
1054103434
11285a3790
1216151a36
13b294088
147284dd0
154b3a9a9
hex3398d8a

54103434 has 64 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 13953600.

The previous prime is 54103433. The next prime is 54103471. The reversal of 54103434 is 43430145.

54103434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54103433) 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 31 ways as a sum of consecutive naturals, for example, 83299 + ... + 83945.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 254103434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54103434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

54103434 is an abundant number, since it is smaller than the sum of its proper divisors (81758838).

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

54103434 is a wasteful number, since it uses less digits than its factorization.

54103434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 54103434 is about 7355.5036537276. The cubic root of 54103434 is about 378.2174919245.

Adding to 54103434 its reverse (43430145), we get a palindrome (97533579).

Subtracting from 54103434 its reverse (43430145), we obtain a square (10673289 = 32672).

The spelling of 54103434 in words is "fifty-four million, one hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 181 231 362 462 543 647 1086 1267 1294 1941 1991 2534 3801 3882 3982 4529 5973 7117 7602 9058 11946 13587 13937 14234 21351 27174 27874 41811 42702 49819 83622 99638 117107 149457 234214 298914 351321 702642 819749 1288177 1639498 2459247 2576354 3864531 4918494 7729062 9017239 18034478 27051717 54103434