Search a number
-
+
34103442054 = 231131155310733
BaseRepresentation
bin11111110000101110…
…010011101010000110
310021000201122100122110
4133300232103222012
51024320440121204
623400015041450
72315054321523
oct376056235206
9107021570573
1034103442054
111351055a860
126739210286
1332a6563c16
14191740814a
15d48ed3889
hex7f0b93a86

34103442054 has 64 divisors (see below), whose sum is σ = 76864370688. Its totient is φ = 9993638400.

The previous prime is 34103442049. The next prime is 34103442101. The reversal of 34103442054 is 45024430143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172072 + ... + 3182804.

It is an arithmetic number, because the mean of its divisors is an integer number (1201005792).

Almost surely, 234103442054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103442054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38432185344).

34103442054 is an abundant number, since it is smaller than the sum of its proper divisors (42760928634).

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

34103442054 is a wasteful number, since it uses less digits than its factorization.

34103442054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34103442054 its reverse (45024430143), we get a palindrome (79127872197).

The spelling of 34103442054 in words is "thirty-four billion, one hundred three million, four hundred forty-two thousand, fifty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1553 2046 3106 4659 9318 10733 17083 21466 32199 34166 48143 51249 64398 96286 102498 118063 144429 236126 288858 332723 354189 529573 665446 708378 998169 1059146 1588719 1996338 3177438 3659953 7319906 10979859 16668349 21959718 33336698 50005047 100010094 183351839 366703678 516718819 550055517 1033437638 1100111034 1550156457 3100312914 5683907009 11367814018 17051721027 34103442054