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20340300000 = 2535567801
BaseRepresentation
bin10010111100011000…
…000101100011100000
31221111112212022002110
4102330120011203200
5313124104100000
613202203115320
71320023461116
oct227430054340
957445768073
1020340300000
118698629499
123b37b12b40
131bc2045997
14dad589ab6
157e0a8a850
hex4bc6058e0

20340300000 has 144 divisors (see below), whose sum is σ = 66738322224. Its totient is φ = 5424000000.

The previous prime is 20340299999. The next prime is 20340300011. The reversal of 20340300000 is 304302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266100 + ... + 333900.

It is an arithmetic number, because the mean of its divisors is an integer number (463460571).

Almost surely, 220340300000 is an apocalyptic number.

20340300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33369161112).

20340300000 is an abundant number, since it is smaller than the sum of its proper divisors (46398022224).

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

20340300000 is an frugal number, since it uses more digits than its factorization.

20340300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67839 (or 67811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20340300000 its reverse (304302), we get a palindrome (20340604302).

The spelling of 20340300000 in words is "twenty billion, three hundred forty million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 67801 75000 100000 135602 150000 203403 271204 300000 339005 406806 542408 678010 813612 1017015 1084816 1356020 1627224 1695025 2034030 2169632 2712040 3254448 3390050 4068060 5085075 5424080 6508896 6780100 8136120 8475125 10170150 10848160 13560200 16272240 16950250 20340300 25425375 27120400 32544480 33900500 40680600 42375625 50850750 54240800 67801000 81361200 84751250 101701500 127126875 135602000 162722400 169502500 203403000 211878125 254253750 271204000 339005000 406806000 423756250 508507500 635634375 678010000 813612000 847512500 1017015000 1271268750 1356020000 1695025000 2034030000 2542537500 3390050000 4068060000 5085075000 6780100000 10170150000 20340300000