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32324463340 = 225131759123953
BaseRepresentation
bin11110000110101100…
…000010101011101100
310002102202011212121221
4132012230002223230
51012200030311330
622503305233124
72223013255621
oct360654025354
9102382155557
1032324463340
1112788353814
1263214927a4
133081b240b0
1417c9044348
15c92c2db7a
hex786b02aec

32324463340 has 96 divisors (see below), whose sum is σ = 78715748160. Its totient is φ = 11042635776.

The previous prime is 32324463319. The next prime is 32324463371. The reversal of 32324463340 is 4336442323.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 32324463296 and 32324463305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198804 + ... + 322756.

It is an arithmetic number, because the mean of its divisors is an integer number (819955710).

Almost surely, 232324463340 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 32324463340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39357874080).

32324463340 is an abundant number, since it is smaller than the sum of its proper divisors (46391284820).

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

32324463340 is a wasteful number, since it uses less digits than its factorization.

32324463340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124051 (or 124049 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

The spelling of 32324463340 in words is "thirty-two billion, three hundred twenty-four million, four hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 59 65 68 85 118 130 170 221 236 260 295 340 442 590 767 884 1003 1105 1180 1534 2006 2210 3068 3835 4012 4420 5015 7670 10030 13039 15340 20060 26078 52156 65195 123953 130390 247906 260780 495812 619765 1239530 1611389 2107201 2479060 3222778 4214402 6445556 7313227 8056945 8428804 10536005 14626454 16113890 21072010 27393613 29252908 32227780 36566135 42144020 54787226 73132270 95071951 109574452 124324859 136968065 146264540 190143902 248649718 273936130 380287804 475359755 497299436 547872260 621624295 950719510 1243248590 1616223167 1901439020 2486497180 3232446334 6464892668 8081115835 16162231670 32324463340