Search a number
-
+
32304121404 = 223194712372437
BaseRepresentation
bin11110000101011110…
…011100011000111100
310002101022220101201220
4132011132130120330
51012124323341104
622501301233340
72222345333652
oct360536343074
9102338811656
1032304121404
111277791a5a5
126316702850
13307a851149
1417c646add2
15c910617d9
hex78579c63c

32304121404 has 96 divisors (see below), whose sum is σ = 81130398720. Its totient is φ = 9972087552.

The previous prime is 32304121301. The next prime is 32304121411. The reversal of 32304121404 is 40412140323.

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, 13254474 + ... + 13256910.

It is an arithmetic number, because the mean of its divisors is an integer number (845108320).

Almost surely, 232304121404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32304121404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40565199360).

32304121404 is an abundant number, since it is smaller than the sum of its proper divisors (48826277316).

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

32304121404 is a wasteful number, since it uses less digits than its factorization.

32304121404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32304121404 its reverse (40412140323), we get a palindrome (72716261727).

The spelling of 32304121404 in words is "thirty-two billion, three hundred four million, one hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1237 1786 2437 2474 2679 3572 3711 4874 4948 5358 7311 7422 9748 10716 14622 14844 23503 29244 46303 47006 58139 70509 92606 94012 114539 116278 138909 141018 174417 185212 229078 232556 277818 282036 343617 348834 458156 555636 687234 697668 1104641 1374468 2176241 2209282 3014569 3313923 4352482 4418564 6029138 6528723 6627846 8704964 9043707 12058276 13057446 13255692 18087414 26114892 36174828 57276811 114553622 141684743 171830433 229107244 283369486 343660866 425054229 566738972 687321732 850108458 1700216916 2692010117 5384020234 8076030351 10768040468 16152060702 32304121404