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68330304 = 263472269
BaseRepresentation
bin1000001001010…
…10001101000000
311202120112120000
410010222031000
5114443032204
610440320000
71456540500
oct404521500
9152515500
1068330304
1135630629
121aa73000
1311205843
149109a00
155eeb039
hex412a340

68330304 has 210 divisors, whose sum is σ = 236498130. Its totient is φ = 19450368.

The previous prime is 68330291. The next prime is 68330323. The reversal of 68330304 is 40303386.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 25401600 = 6552^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253882 + ... + 254150.

Almost surely, 268330304 is an apocalyptic number.

68330304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118249065).

68330304 is an abundant number, since it is smaller than the sum of its proper divisors (168167826).

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

68330304 is a wasteful number, since it uses less digits than its factorization.

68330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 68330304 is about 8266.2146112958. The cubic root of 68330304 is about 408.8253190048.

The spelling of 68330304 in words is "sixty-eight million, three hundred thirty thousand, three hundred four".