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385135368 = 2332337109173
BaseRepresentation
bin10110111101001…
…011001100001000
3222211200220101220
4112331023030020
51242043312433
6102114442040
712354411432
oct2675131410
9884626356
10385135368
111884429a2
12a8b93320
1361a38767
1439215652
1523c292b3
hex16f4b308

385135368 has 128 divisors (see below), whose sum is σ = 1047340800. Its totient is φ = 117697536.

The previous prime is 385135337. The next prime is 385135369. The reversal of 385135368 is 863531583.

It is not an unprimeable number, because it can be changed into a prime (385135369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226130 + ... + 2226302.

It is an arithmetic number, because the mean of its divisors is an integer number (8182350).

Almost surely, 2385135368 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 385135368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523670400).

385135368 is an abundant number, since it is smaller than the sum of its proper divisors (662205432).

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

385135368 is a wasteful number, since it uses less digits than its factorization.

385135368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 385135368 is about 19624.8660632372. The cubic root of 385135368 is about 727.5638866440.

The spelling of 385135368 in words is "three hundred eighty-five million, one hundred thirty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 109 111 138 148 173 184 218 222 276 296 327 346 436 444 519 552 654 692 851 872 888 1038 1308 1384 1702 2076 2507 2553 2616 3404 3979 4033 4152 5014 5106 6401 6808 7521 7958 8066 10028 10212 11937 12099 12802 15042 15916 16132 18857 19203 20056 20424 23874 24198 25604 30084 31832 32264 37714 38406 47748 48396 51208 56571 60168 75428 76812 92759 95496 96792 113142 147223 150856 153624 185518 226284 278277 294446 371036 433711 441669 452568 556554 588892 697709 742072 867422 883338 1113108 1177784 1301133 1395418 1734844 1766676 2093127 2226216 2602266 2790836 3469688 3533352 4186254 5204532 5581672 8372508 10409064 16047307 16745016 32094614 48141921 64189228 96283842 128378456 192567684 385135368