Search a number
-
+
385840308 = 223721135807
BaseRepresentation
bin10110111111110…
…111010010110100
3222220000201101210
4112333313102310
51242233342213
6102141521420
712363405600
oct2677672264
9886021353
10385840308
11188884597
12a9273270
1361c24599
143935a500
1523d180c3
hex16ff74b4

385840308 has 72 divisors (see below), whose sum is σ = 1056730752. Its totient is φ = 109245696.

The previous prime is 385840253. The next prime is 385840309. The reversal of 385840308 is 803048583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385840309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63541 + ... + 69347.

It is an arithmetic number, because the mean of its divisors is an integer number (14676816).

Almost surely, 2385840308 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 385840308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528365376).

385840308 is an abundant number, since it is smaller than the sum of its proper divisors (670890444).

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

385840308 is a wasteful number, since it uses less digits than its factorization.

385840308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 385840308 is about 19642.8182295718. The cubic root of 385840308 is about 728.0075196462.

The spelling of 385840308 in words is "three hundred eighty-five million, eight hundred forty thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 588 678 791 1356 1582 2373 3164 4746 5537 5807 9492 11074 11614 16611 17421 22148 23228 33222 34842 40649 66444 69684 81298 121947 162596 243894 284543 487788 569086 656191 853629 1138172 1312382 1707258 1968573 2624764 3414516 3937146 4593337 7874292 9186674 13780011 18373348 27560022 32153359 55120044 64306718 96460077 128613436 192920154 385840308