Search a number
-
+
385017108 = 223722967337
BaseRepresentation
bin10110111100101…
…110010100010100
3222211110220011220
4112330232110110
51242031021413
6102112130340
712353406600
oct2674562424
9884426156
10385017108
11188372063
12a8b369b0
13619c6998
14391c4500
1523c04223
hex16f2e514

385017108 has 144 divisors (see below), whose sum is σ = 1100473920. Its totient is φ = 104315904.

The previous prime is 385017077. The next prime is 385017119. The reversal of 385017108 is 801710583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142316 + ... + 1142652.

It is an arithmetic number, because the mean of its divisors is an integer number (7642180).

Almost surely, 2385017108 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 385017108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550236960).

385017108 is an abundant number, since it is smaller than the sum of its proper divisors (715456812).

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

385017108 is a wasteful number, since it uses less digits than its factorization.

385017108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 385017108 is about 19621.8528177132. The cubic root of 385017108 is about 727.4894102213.

The spelling of 385017108 in words is "three hundred eighty-five million, seventeen thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 67 84 87 98 116 134 147 174 196 201 203 268 294 337 348 402 406 469 588 609 674 804 812 938 1011 1218 1348 1407 1421 1876 1943 2022 2359 2436 2814 2842 3283 3886 4044 4263 4718 5628 5684 5829 6566 7077 7772 8526 9436 9773 9849 11658 13132 13601 14154 16513 17052 19546 19698 22579 23316 27202 28308 29319 33026 39092 39396 40803 45158 49539 54404 58638 66052 67737 68411 81606 90316 95207 99078 117276 135474 136822 158053 163212 190414 198156 205233 270948 273644 285621 316106 380828 410466 474159 478877 571242 632212 654791 820932 948318 957754 1106371 1142484 1309582 1436631 1896636 1915508 1964373 2212742 2619164 2873262 3319113 3928746 4425484 4583537 5746524 6638226 7857492 9167074 13276452 13750611 18334148 27501222 32084759 55002444 64169518 96254277 128339036 192508554 385017108