Search a number
-
+
385343584 = 25411392113
BaseRepresentation
bin10110111101111…
…110000001100000
3222212002111000121
4112331332001200
51242121443314
6102123130024
712356236453
oct2675760140
9885074017
10385343584
1118857537a
12a9073914
1361aac472
143926b49a
1523c6ad24
hex16f7e060

385343584 has 48 divisors (see below), whose sum is σ = 783110160. Its totient is φ = 186531840.

The previous prime is 385343557. The next prime is 385343591. The reversal of 385343584 is 485343583.

It is a self number, because there is not a number n which added to its sum of digits gives 385343584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181312 + ... + 183424.

It is an arithmetic number, because the mean of its divisors is an integer number (16314795).

Almost surely, 2385343584 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 385343584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391555080).

385343584 is an abundant number, since it is smaller than the sum of its proper divisors (397766576).

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

385343584 is a wasteful number, since it uses less digits than its factorization.

385343584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2295 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The square root of 385343584 is about 19630.1702488797. The cubic root of 385343584 is about 727.6949774784.

Subtracting 385343584 from its reverse (485343583), we obtain a palindrome (99999999).

The spelling of 385343584 in words is "three hundred eighty-five million, three hundred forty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 139 164 278 328 556 656 1112 1312 2113 2224 4226 4448 5699 8452 11398 16904 22796 33808 45592 67616 86633 91184 173266 182368 293707 346532 587414 693064 1174828 1386128 2349656 2772256 4699312 9398624 12041987 24083974 48167948 96335896 192671792 385343584