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385031028 = 2231729371759
BaseRepresentation
bin10110111100110…
…001101101110100
3222211111121021110
4112330301231310
51242031443103
6102112315020
712353465304
oct2674615564
9884447243
10385031028
11188381568
12a8b42a70
1361a00115
14391c9604
1523c08403
hex16f31b74

385031028 has 96 divisors (see below), whose sum is σ = 1011225600. Its totient is φ = 113412096.

The previous prime is 385031021. The next prime is 385031051. The reversal of 385031028 is 820130583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 385030986 and 385031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385031021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218013 + ... + 219771.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2385031028 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 385031028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505612800).

385031028 is an abundant number, since it is smaller than the sum of its proper divisors (626194572).

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

385031028 is a wasteful number, since it uses less digits than its factorization.

385031028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 385031028 is about 19622.2075210716. The cubic root of 385031028 is about 727.4981773906.

The spelling of 385031028 in words is "three hundred eighty-five million, thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 37 51 58 68 74 87 102 111 116 148 174 204 222 348 444 493 629 986 1073 1258 1479 1759 1887 1972 2146 2516 2958 3219 3518 3774 4292 5277 5916 6438 7036 7548 10554 12876 18241 21108 29903 36482 51011 54723 59806 65083 72964 89709 102022 109446 119612 130166 153033 179418 195249 204044 218892 260332 306066 358836 390498 612132 780996 867187 1106411 1734374 1887407 2212822 2601561 3319233 3468748 3774814 4425644 5203122 5662221 6638466 7549628 10406244 11324442 13276932 22648884 32085919 64171838 96257757 128343676 192515514 385031028