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78456330 = 2335674337
BaseRepresentation
bin1001010110100…
…10011000001010
312110121222212000
410223102120022
5130041100310
611441331430
71641603441
oct453223012
9173558760
1078456330
1140317447
1222336b76
131333c884
14a5c3d58
156d4b4c0
hex4ad260a

78456330 has 64 divisors (see below), whose sum is σ = 212388480. Its totient is φ = 20604672.

The previous prime is 78456311. The next prime is 78456379. The reversal of 78456330 is 3365487.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15922 + ... + 20258.

It is an arithmetic number, because the mean of its divisors is an integer number (3318570).

Almost surely, 278456330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78456330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106194240).

78456330 is an abundant number, since it is smaller than the sum of its proper divisors (133932150).

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

78456330 is a wasteful number, since it uses less digits than its factorization.

78456330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 78456330 is about 8857.5577898199. The cubic root of 78456330 is about 428.0974717590.

The spelling of 78456330 in words is "seventy-eight million, four hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 3015 3618 4337 6030 8674 9045 13011 18090 21685 26022 39033 43370 65055 78066 117099 130110 195165 234198 290579 390330 581158 585495 871737 1170990 1452895 1743474 2615211 2905790 4358685 5230422 7845633 8717370 13076055 15691266 26152110 39228165 78456330