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2321300 = 2252139167
BaseRepresentation
bin1000110110101110010100
311100221020002
420312232110
51043240200
6121430432
725505432
oct10665624
94327202
102321300
111346033
1293b418
13633767
14445d52
1530cbd5
hex236b94

2321300 has 36 divisors (see below), whose sum is σ = 5103840. Its totient is φ = 916320.

The previous prime is 2321281. The next prime is 2321309. The reversal of 2321300 is 31232.

2321300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13817 + ... + 13983.

22321300 is an apocalyptic number.

2321300 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 2321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551920).

2321300 is an abundant number, since it is smaller than the sum of its proper divisors (2782540).

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

2321300 is a wasteful number, since it uses less digits than its factorization.

2321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2321300 is about 1523.5813073151. The cubic root of 2321300 is about 132.4068408887.

Adding to 2321300 its reverse (31232), we get a palindrome (2352532).

The spelling of 2321300 in words is "two million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 167 278 334 556 668 695 835 1390 1670 2780 3340 3475 4175 6950 8350 13900 16700 23213 46426 92852 116065 232130 464260 580325 1160650 2321300