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385188330 = 235193121799
BaseRepresentation
bin10110111101011…
…000000111101010
3222211210121001110
4112331120013222
51242102011310
6102115531150
712355022022
oct2675300752
9884717043
10385188330
1118847976a
12a8bb9ab6
1361a568b7
143922aa82
1523c39d20
hex16f581ea

385188330 has 64 divisors (see below), whose sum is σ = 1004544000. Its totient is φ = 94167360.

The previous prime is 385188319. The next prime is 385188373. The reversal of 385188330 is 33881583.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6771 + ... + 28569.

It is an arithmetic number, because the mean of its divisors is an integer number (15696000).

Almost surely, 2385188330 is an apocalyptic number.

385188330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385188330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502272000).

385188330 is an abundant number, since it is smaller than the sum of its proper divisors (619355670).

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

385188330 is a wasteful number, since it uses less digits than its factorization.

385188330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21859.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 385188330 is about 19626.2153763786. The cubic root of 385188330 is about 727.5972355005.

The spelling of 385188330 in words is "three hundred eighty-five million, one hundred eighty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8835 17670 21799 43598 65397 108995 130794 217990 326985 414181 653970 675769 828362 1242543 1351538 2027307 2070905 2485086 3378845 4054614 4141810 6212715 6757690 10136535 12425430 12839611 20273070 25679222 38518833 64198055 77037666 128396110 192594165 385188330