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20340320400 = 2433521883363
BaseRepresentation
bin10010111100011000…
…001010100010010000
31221111112220100002000
4102330120022202100
5313124110223100
613202203354000
71320023604441
oct227430124220
957445810060
1020340320400
118698642854
123b37b22900
131bc205205a
14dad5932c8
157e0a91900
hex4bc60a890

20340320400 has 120 divisors (see below), whose sum is σ = 72396512160. Its totient is φ = 5424082560.

The previous prime is 20340320359. The next prime is 20340320419. The reversal of 20340320400 is 402304302.

20340320400 is a `hidden beast` number, since 2 + 0 + 340 + 320 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930882 + ... + 952481.

It is an arithmetic number, because the mean of its divisors is an integer number (603304268).

Almost surely, 220340320400 is an apocalyptic number.

20340320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20340320400 is an abundant number, since it is smaller than the sum of its proper divisors (52056191760).

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

20340320400 is a wasteful number, since it uses less digits than its factorization.

20340320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883390 (or 1883373 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20340320400 its reverse (402304302), we get a palindrome (20742624702).

The spelling of 20340320400 in words is "twenty billion, three hundred forty million, three hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 1883363 3766726 5650089 7533452 9416815 11300178 15066904 16950267 18833630 22600356 28250445 30133808 33900534 37667260 45200712 47084075 50850801 56500890 67801068 75334520 84751335 90401424 94168150 101701602 113001780 135602136 141252225 150669040 169502670 188336300 203403204 226003560 254254005 271204272 282504450 339005340 376672600 406806408 423756675 452007120 508508010 565008900 678010680 753345200 813612816 847513350 1017016020 1130017800 1271270025 1356021360 1695026700 2034032040 2260035600 2542540050 3390053400 4068064080 5085080100 6780106800 10170160200 20340320400