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2041310304 = 253211644353
BaseRepresentation
bin111100110101011…
…1110110001100000
312021021002022022100
41321222332301200
513140033412204
6534320210400
7101404564665
oct17152766140
95237068270
102041310304
119582a2710
1248b769a00
13266bac427
1415516da6c
15be322a39
hex79abec60

2041310304 has 72 divisors (see below), whose sum is σ = 6332711112. Its totient is φ = 618577920.

The previous prime is 2041310287. The next prime is 2041310333. The reversal of 2041310304 is 4030131402.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 319009 + ... + 325344.

It is an arithmetic number, because the mean of its divisors is an integer number (87954321).

Almost surely, 22041310304 is an apocalyptic number.

2041310304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2041310304 is an abundant number, since it is smaller than the sum of its proper divisors (4291400808).

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

2041310304 is a wasteful number, since it uses less digits than its factorization.

2041310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644380 (or 644369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2041310304 is about 45180.8621431685. The cubic root of 2041310304 is about 1268.5366210144.

Adding to 2041310304 its reverse (4030131402), we get a palindrome (6071441706).

The spelling of 2041310304 in words is "two billion, forty-one million, three hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 644353 1288706 1933059 2577412 3866118 5154824 5799177 7087883 7732236 10309648 11598354 14175766 15464472 20619296 21263649 23196708 28351532 30928944 42527298 46393416 56703064 61857888 63790947 85054596 92786832 113406128 127581894 170109192 185573664 226812256 255163788 340218384 510327576 680436768 1020655152 2041310304