Search a number
-
+
34210442352 = 2434577432099
BaseRepresentation
bin11111110111000110…
…011110110001110000
310021022011222112110110
4133313012132301300
51030030333123402
623414400301320
72320523650662
oct376706366160
9107264875413
1034210442352
11135659a2759
126769011840
1332c2788ac8
1419276dc532
15d535bc56c
hex7f719ec70

34210442352 has 80 divisors (see below), whose sum is σ = 88731820800. Its totient is φ = 11357799936.

The previous prime is 34210442323. The next prime is 34210442359. The reversal of 34210442352 is 25324401243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34210442359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16297399 + ... + 16299497.

It is an arithmetic number, because the mean of its divisors is an integer number (1109147760).

Almost surely, 234210442352 is an apocalyptic number.

It is an amenable number.

34210442352 is an abundant number, since it is smaller than the sum of its proper divisors (54521378448).

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

34210442352 is a wasteful number, since it uses less digits than its factorization.

34210442352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

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

Adding to 34210442352 its reverse (25324401243), we get a palindrome (59534843595).

The spelling of 34210442352 in words is "thirty-four billion, two hundred ten million, four hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 457 743 914 1371 1486 1828 2099 2229 2742 2972 3656 4198 4458 5484 5944 6297 7312 8396 8916 10968 11888 12594 16792 17832 21936 25188 33584 35664 50376 100752 339551 679102 959243 1018653 1358204 1559557 1918486 2037306 2716408 2877729 3119114 3836972 4074612 4678671 5432816 5755458 6238228 7673944 8149224 9357342 11510916 12476456 15347888 16298448 18714684 23021832 24952912 37429368 46043664 74858736 712717549 1425435098 2138152647 2850870196 4276305294 5701740392 8552610588 11403480784 17105221176 34210442352