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68304672 = 25324872
BaseRepresentation
bin1000001001000…
…11111100100000
311202112020101200
410010203330200
5114441222142
610440001200
71456402662
oct404437440
9152466350
1068304672
1135613347
121aa60200
13111c6c87
149100532
155ee364c
hex4123f20

68304672 has 54 divisors (see below), whose sum is σ = 194641083. Its totient is φ = 22721472.

The previous prime is 68304667. The next prime is 68304697. The reversal of 68304672 is 27640386.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 34152336 + 34152336 = 5844^2 + 5844^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140013 + ... + 140499.

Almost surely, 268304672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68304672

68304672 is an abundant number, since it is smaller than the sum of its proper divisors (126336411).

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

68304672 is an equidigital number, since it uses as much as digits as its factorization.

68304672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68304672 is about 8264.6640585084. The cubic root of 68304672 is about 408.7741932205.

The spelling of 68304672 in words is "sixty-eight million, three hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 487 974 1461 1948 2922 3896 4383 5844 7792 8766 11688 15584 17532 23376 35064 46752 70128 140256 237169 474338 711507 948676 1423014 1897352 2134521 2846028 3794704 4269042 5692056 7589408 8538084 11384112 17076168 22768224 34152336 68304672