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32430132330 = 23519277205397
BaseRepresentation
bin11110001100111111…
…001000110001101010
310002201010000102020020
4132030333020301222
51012404103213310
622522002141310
72225435401521
oct361477106152
9102633012206
1032430132330
1112831a67462
126350951836
13309a9a101b
1417d90ad4b8
15c9c153170
hex78cfc8c6a

32430132330 has 64 divisors (see below), whose sum is σ = 82224927360. Its totient is φ = 8163258624.

The previous prime is 32430132323. The next prime is 32430132347. The reversal of 32430132330 is 3323103423.

It is a happy number.

It is a super-2 number, since 2×324301323302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32430132330.

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, 55192 + ... + 260588.

It is an arithmetic number, because the mean of its divisors is an integer number (1284764490).

Almost surely, 232430132330 is an apocalyptic number.

32430132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32430132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41112463680).

32430132330 is an abundant number, since it is smaller than the sum of its proper divisors (49794795030).

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

32430132330 is a wasteful number, since it uses less digits than its factorization.

32430132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205703.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 32430132330 its reverse (3323103423), we get a palindrome (35753235753).

The spelling of 32430132330 in words is "thirty-two billion, four hundred thirty million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 277 285 554 570 831 1385 1662 2770 4155 5263 8310 10526 15789 26315 31578 52630 78945 157890 205397 410794 616191 1026985 1232382 2053970 3080955 3902543 6161910 7805086 11707629 19512715 23415258 39025430 56894969 58538145 113789938 117076290 170684907 284474845 341369814 568949690 853424535 1081004411 1706849070 2162008822 3243013233 5405022055 6486026466 10810044110 16215066165 32430132330