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2033012340 = 2232511294513
BaseRepresentation
bin111100100101101…
…0100111001110100
312020200110201122100
41321023110321310
513130422343330
6533422302100
7101244214452
oct17113247164
95220421570
102033012340
11953645297
12488a27930
132652654a8
1415400d9d2
15bd734060
hex792d4e74

2033012340 has 36 divisors (see below), whose sum is σ = 6166804644. Its totient is φ = 542136576.

The previous prime is 2033012309. The next prime is 2033012341. The reversal of 2033012340 is 432103302.

2033012340 is a `hidden beast` number, since 20 + 3 + 301 + 2 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1305955044 + 727057296 = 36138^2 + 26964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033012341) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5647077 + ... + 5647436.

It is an arithmetic number, because the mean of its divisors is an integer number (171300129).

Almost surely, 22033012340 is an apocalyptic number.

2033012340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2033012340 is an abundant number, since it is smaller than the sum of its proper divisors (4133792304).

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

2033012340 is a wasteful number, since it uses less digits than its factorization.

2033012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294528 (or 11294523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2033012340 is about 45088.9381112485. The cubic root of 2033012340 is about 1266.8154117411.

Adding to 2033012340 its reverse (432103302), we get a palindrome (2465115642).

The spelling of 2033012340 in words is "two billion, thirty-three million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11294513 22589026 33883539 45178052 56472565 67767078 101650617 112945130 135534156 169417695 203301234 225890260 338835390 406602468 508253085 677670780 1016506170 2033012340