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32034022420 = 225171941120947
BaseRepresentation
bin11101110101011000…
…000110010000010100
310001200111122221120211
4131311120012100110
51011101202204140
622414412135204
72212555461241
oct356530062024
9101614587524
1032034022420
11126494091a4
126260167504
1330368c226a
14179c63c5c8
15c774ac2ea
hex775606414

32034022420 has 96 divisors (see below), whose sum is σ = 76806817920. Its totient is φ = 11146383360.

The previous prime is 32034022333. The next prime is 32034022421. The reversal of 32034022420 is 2422043023.

It is a junction number, because it is equal to n+sod(n) for n = 32034022391 and 32034022400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32034022421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204387 + ... + 325333.

It is an arithmetic number, because the mean of its divisors is an integer number (800071020).

Almost surely, 232034022420 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 32034022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38403408960).

32034022420 is an abundant number, since it is smaller than the sum of its proper divisors (44772795500).

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

32034022420 is a wasteful number, since it uses less digits than its factorization.

32034022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121033 (or 121031 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 32034022420 its reverse (2422043023), we get a palindrome (34456065443).

The spelling of 32034022420 in words is "thirty-two billion, thirty-four million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 41 68 76 82 85 95 164 170 190 205 323 340 380 410 646 697 779 820 1292 1394 1558 1615 2788 3116 3230 3485 3895 6460 6970 7790 13243 13940 15580 26486 52972 66215 120947 132430 241894 264860 483788 604735 1209470 2056099 2297993 2418940 4112198 4595986 4958827 8224396 9191972 9917654 10280495 11489965 19835308 20560990 22979930 24794135 39065881 41121980 45959860 49588270 78131762 84300059 94217713 99176540 156263524 168600118 188435426 195329405 337200236 376870852 390658810 421500295 471088565 781317620 843000590 942177130 1601701121 1686001180 1884354260 3203402242 6406804484 8008505605 16017011210 32034022420