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2041202304 = 27321771877
BaseRepresentation
bin111100110101010…
…0100011010000000
312021020212211011100
41321222210122000
513140021433204
6534314014400
7101403635061
oct17152443200
95236784140
102041202304
11958229559
1248b717400
13266b7221b
14155142568
15be300a39
hex79aa4680

2041202304 has 48 divisors (see below), whose sum is σ = 5873775570. Its totient is φ = 680400384.

The previous prime is 2041202249. The next prime is 2041202309. The reversal of 2041202304 is 4032021402.

2041202304 is a `hidden beast` number, since 20 + 412 + 0 + 230 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1814760000 + 226442304 = 42600^2 + 15048^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2041202309) 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 5 ways as a sum of consecutive naturals, for example, 884787 + ... + 887090.

Almost surely, 22041202304 is an apocalyptic number.

2041202304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2041202304 is an abundant number, since it is smaller than the sum of its proper divisors (3832573266).

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

2041202304 is a wasteful number, since it uses less digits than its factorization.

2041202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771897 (or 1771882 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2041202304 is about 45179.6669310432. Note that the first 3 decimals coincide. The cubic root of 2041202304 is about 1268.5142490489.

Adding to 2041202304 its reverse (4032021402), we get a palindrome (6073223706).

The spelling of 2041202304 in words is "two billion, forty-one million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1771877 3543754 5315631 7087508 10631262 14175016 15946893 21262524 28350032 31893786 42525048 56700064 63787572 85050096 113400128 127575144 170100192 226800256 255150288 340200384 510300576 680400768 1020601152 2041202304