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68304800 = 255285381
BaseRepresentation
bin1000001001000…
…11111110100000
311202112020120102
410010203332200
5114441223200
610440001532
71456403234
oct404437640
9152466512
1068304800
1135613453
121aa602a8
13111c7055
1491005c4
155ee36d5
hex4123fa0

68304800 has 36 divisors (see below), whose sum is σ = 166751046. Its totient is φ = 27321600.

The previous prime is 68304787. The next prime is 68304809. The reversal of 68304800 is 840386.

It can be written as a sum of positive squares in 3 ways, for example, as 34245904 + 34058896 = 5852^2 + 5836^2 .

It is not an unprimeable number, because it can be changed into a prime (68304809) 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 5 ways as a sum of consecutive naturals, for example, 41891 + ... + 43490.

Almost surely, 268304800 is an apocalyptic number.

It is an amenable number.

68304800 is an abundant number, since it is smaller than the sum of its proper divisors (98446246).

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

68304800 is a wasteful number, since it uses less digits than its factorization.

68304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85401 (or 85388 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 68304800 is about 8264.6718023162. The cubic root of 68304800 is about 408.7744485621.

The spelling of 68304800 in words is "sixty-eight million, three hundred four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 85381 170762 341524 426905 683048 853810 1366096 1707620 2134525 2732192 3415240 4269050 6830480 8538100 13660960 17076200 34152400 68304800