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68906304 = 26321731227
BaseRepresentation
bin1000001101101…
…10110101000000
311210122210200100
410012312311000
5120120000204
610500522400
71464460005
oct406666500
9153583610
1068906304
1135994365
121b0b0400
1311377a7c
1492198ac
1560b1a39
hex41b6d40

68906304 has 168 divisors, whose sum is σ = 216822528. Its totient is φ = 20828160.

The previous prime is 68906303. The next prime is 68906353. The reversal of 68906304 is 40360986.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68906303) 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 23 ways as a sum of consecutive naturals, for example, 303439 + ... + 303665.

Almost surely, 268906304 is an apocalyptic number.

68906304 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 68906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

68906304 is an abundant number, since it is smaller than the sum of its proper divisors (147916224).

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

68906304 is a wasteful number, since it uses less digits than its factorization.

68906304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 68906304 is about 8300.9821105698. The cubic root of 68906304 is about 409.9708565444.

It can be divided in two parts, 6 and 8906304, that added together give a triangular number (8906310 = T4220).

The spelling of 68906304 in words is "sixty-eight million, nine hundred six thousand, three hundred four".