Search a number
-
+
385063600 = 24521723331
BaseRepresentation
bin10110111100111…
…001101010110000
3222211120020221211
4112330321222300
51242034013400
6102113125504
712353662255
oct2674715260
9884506854
10385063600
111883a3a89
12a8b59894
1361a11bac
14391d742c
1523c12dba
hex16f39ab0

385063600 has 90 divisors (see below), whose sum is σ = 983029964. Its totient is φ = 144921600.

The previous prime is 385063577. The next prime is 385063639. The reversal of 385063600 is 6360583.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113935 + ... + 117265.

Almost surely, 2385063600 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 385063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491514982).

385063600 is an abundant number, since it is smaller than the sum of its proper divisors (597966364).

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

385063600 is a wasteful number, since it uses less digits than its factorization.

385063600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 385063600 is about 19623.0374814910. The cubic root of 385063600 is about 727.5186912373.

The spelling of 385063600 in words is "three hundred eighty-five million, sixty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 289 340 400 425 578 680 850 1156 1360 1445 1700 2312 2890 3331 3400 4624 5780 6662 6800 7225 11560 13324 14450 16655 23120 26648 28900 33310 53296 56627 57800 66620 83275 113254 115600 133240 166550 226508 266480 283135 333100 453016 566270 666200 906032 962659 1132540 1332400 1415675 1925318 2265080 2831350 3850636 4530160 4813295 5662700 7701272 9626590 11325400 15402544 19253180 22650800 24066475 38506360 48132950 77012720 96265900 192531800 385063600