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2340011300 = 2252115473889
BaseRepresentation
bin1000101101111001…
…1011110100100100
320001002010220001012
42023132123310210
514243020330200
61024110321352
7111662524244
oct21336336444
96032126035
102340011300
11aa096a140
125537b9258
132b3a43b93
14182ac5b24
15da676a35
hex8b79bd24

2340011300 has 72 divisors (see below), whose sum is σ = 5550998880. Its totient is φ = 849139200.

The previous prime is 2340011269. The next prime is 2340011339. The reversal of 2340011300 is 31100432.

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 23 ways as a sum of consecutive naturals, for example, 599756 + ... + 603644.

Almost surely, 22340011300 is an apocalyptic number.

2340011300 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 2340011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775499440).

2340011300 is an abundant number, since it is smaller than the sum of its proper divisors (3210987580).

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

2340011300 is a wasteful number, since it uses less digits than its factorization.

2340011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2340011300 is about 48373.6632890254. The cubic root of 2340011300 is about 1327.6165313014.

Adding to 2340011300 its reverse (31100432), we get a palindrome (2371111732).

The spelling of 2340011300 in words is "two billion, three hundred forty million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 547 550 1094 1100 2188 2735 3889 5470 6017 7778 10940 12034 13675 15556 19445 24068 27350 30085 38890 42779 54700 60170 77780 85558 97225 120340 150425 171116 194450 213895 300850 388900 427790 601700 855580 1069475 2127283 2138950 4254566 4277900 8509132 10636415 21272830 23400113 42545660 46800226 53182075 93600452 106364150 117000565 212728300 234001130 468002260 585002825 1170005650 2340011300