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2034300000 = 253556781
BaseRepresentation
bin111100101000000…
…1111010001100000
312020202220010222110
41321100033101200
513131240100000
6533510035320
7101261156535
oct17120172140
95222803873
102034300000
11954344777
12489348b40
132655c6615
14154266d8c
15bd8da850
hex7940f460

2034300000 has 144 divisors (see below), whose sum is σ = 6675603984. Its totient is φ = 542400000.

The previous prime is 2034299983. The next prime is 2034300001. The reversal of 2034300000 is 34302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034300001) by changing a digit.

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, 296610 + ... + 303390.

It is an arithmetic number, because the mean of its divisors is an integer number (46358361).

Almost surely, 22034300000 is an apocalyptic number.

2034300000 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 2034300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337801992).

2034300000 is an abundant number, since it is smaller than the sum of its proper divisors (4641303984).

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

2034300000 is an frugal number, since it uses more digits than its factorization.

2034300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6791 counting only the distinct ones).

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

The square root of 2034300000 is about 45103.2149630157. The cubic root of 2034300000 is about 1267.0828118660.

Adding to 2034300000 its reverse (34302), we get a palindrome (2034334302).

The spelling of 2034300000 in words is "two billion, thirty-four 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 6781 7500 9375 10000 12000 12500 13562 15000 18750 20000 20343 25000 27124 30000 33905 37500 40686 50000 54248 60000 67810 75000 81372 100000 101715 108496 135620 150000 162744 169525 203430 216992 271240 300000 325488 339050 406860 508575 542480 650976 678100 813720 847625 1017150 1084960 1356200 1627440 1695250 2034300 2542875 2712400 3254880 3390500 4068600 4238125 5085750 5424800 6781000 8137200 8476250 10171500 12714375 13562000 16274400 16952500 20343000 21190625 25428750 27124000 33905000 40686000 42381250 50857500 63571875 67810000 81372000 84762500 101715000 127143750 135620000 169525000 203430000 254287500 339050000 406860000 508575000 678100000 1017150000 2034300000