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68336928 = 25321123753
BaseRepresentation
bin1000001001010…
…11110100100000
311202120212122100
410010223310200
5114443240203
610440410400
71456566012
oct404536440
9152525570
1068336928
1135635600
121aa76a00
131120886a
14910c1b2
155eecea3
hex412bd20

68336928 has 216 divisors, whose sum is σ = 223518204. Its totient is φ = 19768320.

The previous prime is 68336921. The next prime is 68336951. The reversal of 68336928 is 82963386.

It can be written as a sum of positive squares in 2 ways, for example, as 60652944 + 7683984 = 7788^2 + 2772^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (373248) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (68336921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1289350 + ... + 1289402.

Almost surely, 268336928 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 68336928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111759102).

68336928 is an abundant number, since it is smaller than the sum of its proper divisors (155181276).

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

68336928 is a wasteful number, since it uses less digits than its factorization.

68336928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 68336928 is about 8266.6152686574. The cubic root of 68336928 is about 408.8385292071.

The spelling of 68336928 in words is "sixty-eight million, three hundred thirty-six thousand, nine hundred twenty-eight".