Search a number
-
+
34221200442 = 231113101339373
BaseRepresentation
bin11111110111101111…
…100001010000111010
310021022221020002210020
4133313233201100322
51030041111403232
623415423031310
72321014255452
oct376757412072
9107287202706
1034221200442
1113570a80440
12677073b536
1332c4a84740
141928cdcd62
15d544e4e2c
hex7f7be143a

34221200442 has 64 divisors (see below), whose sum is σ = 80489275776. Its totient is φ = 9562671360.

The previous prime is 34221200423. The next prime is 34221200527. The reversal of 34221200442 is 24400212243.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849468 + ... + 888840.

It is an arithmetic number, because the mean of its divisors is an integer number (1257644934).

Almost surely, 234221200442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40244637888).

34221200442 is an abundant number, since it is smaller than the sum of its proper divisors (46268075334).

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

34221200442 is a wasteful number, since it uses less digits than its factorization.

34221200442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40415.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34221200442 its reverse (24400212243), we get a palindrome (58621412685).

The spelling of 34221200442 in words is "thirty-four billion, two hundred twenty-one million, two hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1013 2026 3039 6078 11143 13169 22286 26338 33429 39373 39507 66858 78746 79014 118119 144859 236238 289718 433103 434577 511849 866206 869154 1023698 1299309 1535547 2598618 3071094 5630339 11260678 16891017 33782034 39884849 79769698 119654547 239309094 438733339 518503037 877466678 1037006074 1316200017 1555509111 2632400034 3111018222 5703533407 11407066814 17110600221 34221200442