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68788440 = 233657337
BaseRepresentation
bin1000001100110…
…10000011011000
311210102211000000
410012122003120
5120102212230
610454213000
71463456250
oct406320330
9153384000
1068788440
1135913856
121b054160
1311336226
1491c8960
15608bb60
hex419a0d8

68788440 has 224 divisors, whose sum is σ = 265992480. Its totient is φ = 15676416.

The previous prime is 68788427. The next prime is 68788463. The reversal of 68788440 is 4488786.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 203952 + ... + 204288.

Almost surely, 268788440 is an apocalyptic number.

68788440 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 68788440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132996240).

68788440 is an abundant number, since it is smaller than the sum of its proper divisors (197204040).

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

68788440 is a wasteful number, since it uses less digits than its factorization.

68788440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 68788440 is about 8293.8796711792. The cubic root of 68788440 is about 409.7369718861.

The spelling of 68788440 in words is "sixty-eight million, seven hundred eighty-eight thousand, four hundred forty".