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68080320 = 26325711307
BaseRepresentation
bin1000000111011…
…01001011000000
311202002211122100
410003231023000
5114412032240
610431110400
71454446620
oct403551300
9152084570
1068080320
113547a830
121a972400
1311148b19
149082880
155e9be30
hex40ed2c0

68080320 has 336 divisors, whose sum is σ = 292900608. Its totient is φ = 14100480.

The previous prime is 68080303. The next prime is 68080321. The reversal of 68080320 is 2308086.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (68080321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221607 + ... + 221913.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 268080320 is an apocalyptic number.

68080320 is a gapful number since it is divisible by the number (60) 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 68080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

68080320 is an abundant number, since it is smaller than the sum of its proper divisors (224820288).

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

68080320 is a wasteful number, since it uses less digits than its factorization.

68080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68080320 is about 8251.0799293183. The cubic root of 68080320 is about 408.3261521251.

The spelling of 68080320 in words is "sixty-eight million, eighty thousand, three hundred twenty".