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68374656 = 2732761139
BaseRepresentation
bin1000001001101…
…01000010000000
311202122210101200
410010311002000
5120000442111
610441301200
71460114010
oct404650200
9152583350
1068374656
1135660989
121aa94800
131121ca9c
14911bc40
156009256
hex4135080

68374656 has 192 divisors, whose sum is σ = 230193600. Its totient is φ = 19077120.

The previous prime is 68374651. The next prime is 68374667. The reversal of 68374656 is 65647386.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (68374651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491835 + ... + 491973.

It is an arithmetic number, because the mean of its divisors is an integer number (1198925).

Almost surely, 268374656 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 68374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115096800).

68374656 is an abundant number, since it is smaller than the sum of its proper divisors (161818944).

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

68374656 is a wasteful number, since it uses less digits than its factorization.

68374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 68374656 is about 8268.8969034570. The cubic root of 68374656 is about 408.9137536514.

The spelling of 68374656 in words is "sixty-eight million, three hundred seventy-four thousand, six hundred fifty-six".