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32430301024 = 25112314932683
BaseRepresentation
bin11110001100111111…
…110001111101100000
310002201010022222122011
4132030333301331200
51012404124113044
622522005522304
72225440003402
oct361477617540
9102633288564
1032430301024
1112832072180
126350a13394
13309aa2ca44
1417d9114b72
15c9c188134
hex78cff1f60

32430301024 has 96 divisors (see below), whose sum is σ = 72755553024. Its totient is φ = 14085434880.

The previous prime is 32430301003. The next prime is 32430301049. The reversal of 32430301024 is 42010303423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 32430300986 and 32430301004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12085987 + ... + 12088669.

It is an arithmetic number, because the mean of its divisors is an integer number (757870344).

Almost surely, 232430301024 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 32430301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36377776512).

32430301024 is an abundant number, since it is smaller than the sum of its proper divisors (40325252000).

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

32430301024 is a wasteful number, since it uses less digits than its factorization.

32430301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 32430301024 its reverse (42010303423), we get a palindrome (74440604447).

The spelling of 32430301024 in words is "thirty-two billion, four hundred thirty million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 1493 2024 2683 2986 4048 5366 5972 8096 10732 11944 16423 21464 23888 29513 32846 34339 42928 47776 59026 61709 65692 68678 85856 118052 123418 131384 137356 236104 246836 262768 274712 377729 472208 493672 525536 549424 678799 755458 944416 987344 1098848 1357598 1510916 1974688 2715196 3021832 4005719 5430392 6043664 8011438 10860784 12087328 16022876 21721568 32045752 44062909 64091504 88125818 92131537 128183008 176251636 184263074 352503272 368526148 705006544 737052296 1013446907 1410013088 1474104592 2026893814 2948209184 4053787628 8107575256 16215150512 32430301024