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327373324040 = 235710116636961
BaseRepresentation
bin1001100001110001111…
…10000111111100001000
31011022000012122222002102
410300320332013330020
520330430032332130
6410220534252532
732436421224650
oct4607076077410
91138005588072
10327373324040
11116924785854
12535447b7148
1324b42c70a79
1411bb87a3360
1587b08d8645
hex4c38f87f08

327373324040 has 128 divisors (see below), whose sum is σ = 850785361920. Its totient is φ = 111048192000.

The previous prime is 327373324039. The next prime is 327373324067. The reversal of 327373324040 is 40423373723.

It is a junction number, because it is equal to n+sod(n) for n = 327373323985 and 327373324003.

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, 47026160 + ... + 47033120.

It is an arithmetic number, because the mean of its divisors is an integer number (6646760640).

Almost surely, 2327373324040 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 327373324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425392680960).

327373324040 is an abundant number, since it is smaller than the sum of its proper divisors (523412037880).

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

327373324040 is a wasteful number, since it uses less digits than its factorization.

327373324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 38.

Adding to 327373324040 its reverse (40423373723), we get a palindrome (367796697763).

The spelling of 327373324040 in words is "three hundred twenty-seven billion, three hundred seventy-three million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 1663 2020 2828 3326 3535 4040 5656 6652 6961 7070 8315 11641 13304 13922 14140 16630 23282 27844 28280 33260 34805 46564 48727 55688 58205 66520 69610 93128 97454 116410 139220 167963 194908 232820 243635 278440 335926 389816 465640 487270 671852 703061 839815 974540 1175741 1343704 1406122 1679630 1949080 2351482 2812244 3359260 3515305 4702964 4921427 5624488 5878705 6718520 7030610 9405928 9842854 11576143 11757410 14061220 19685708 23152286 23514820 24607135 28122440 39371416 46304572 47029640 49214270 57880715 81033001 92609144 98428540 115761430 162066002 196857080 231522860 324132004 405165005 463045720 648264008 810330010 1169190443 1620660020 2338380886 3241320040 4676761772 5845952215 8184333101 9353523544 11691904430 16368666202 23383808860 32737332404 40921665505 46767617720 65474664808 81843331010 163686662020 327373324040