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2993300 = 225237809
BaseRepresentation
bin1011011010110010010100
312122002000222
423122302110
51231241200
6144053512
734304552
oct13326224
95562028
102993300
111764a02
121004298
1380a5ab
1457cbd2
153e1d85
hex2dac94

2993300 has 36 divisors (see below), whose sum is σ = 6679260. Its totient is φ = 1163520.

The previous prime is 2993299. The next prime is 2993303. The reversal of 2993300 is 33992.

2993300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 264196 + 2729104 = 514^2 + 1652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2993300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993303) 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, 3296 + ... + 4104.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

22993300 is an apocalyptic number.

2993300 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 2993300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339630).

2993300 is an abundant number, since it is smaller than the sum of its proper divisors (3685960).

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

2993300 is a wasteful number, since it uses less digits than its factorization.

2993300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 2993300 is about 1730.1156030740. The cubic root of 2993300 is about 144.1175095343.

The spelling of 2993300 in words is "two million, nine hundred ninety-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 809 925 1618 1850 3236 3700 4045 8090 16180 20225 29933 40450 59866 80900 119732 149665 299330 598660 748325 1496650 2993300