Search a number
-
+
380118312 = 23337298669
BaseRepresentation
bin10110101010000…
…010010100101000
3222111021000022000
4112222002110220
51234302241222
6101415131000
712263644440
oct2652022450
9874230260
10380118312
11185626572
12a7373a60
136099cca2
14386ab120
15235879ac
hex16a82528

380118312 has 128 divisors (see below), whose sum is σ = 1248480000. Its totient is φ = 104848128.

The previous prime is 380118293. The next prime is 380118329. The reversal of 380118312 is 213811083.

It is a super-2 number, since 2×3801183122 = 288979862235458688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39514 + ... + 48182.

It is an arithmetic number, because the mean of its divisors is an integer number (9753750).

Almost surely, 2380118312 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 380118312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624240000).

380118312 is an abundant number, since it is smaller than the sum of its proper divisors (868361688).

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

380118312 is a wasteful number, since it uses less digits than its factorization.

380118312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 380118312 is about 19496.6230922178. The cubic root of 380118312 is about 724.3908078007.

Adding to 380118312 its reverse (213811083), we get a palindrome (593929395).

The spelling of 380118312 in words is "three hundred eighty million, one hundred eighteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 8669 10962 14616 17338 21924 26007 34676 43848 52014 60683 69352 78021 104028 121366 156042 182049 208056 234063 242732 251401 312084 364098 468126 485464 502802 546147 624168 728196 754203 936252 1005604 1092294 1456392 1508406 1638441 1759807 1872504 2011208 2184588 2262609 3016812 3276882 3519614 4369176 4525218 5279421 6033624 6553764 6787827 7039228 9050436 10558842 13107528 13575654 14078456 15838263 18100872 21117684 27151308 31676526 42235368 47514789 54302616 63353052 95029578 126706104 190059156 380118312