Search a number
-
+
378934116 = 2231147103593
BaseRepresentation
bin10110100101100…
…001001101100100
3222102000211212220
4112211201031210
51234001342431
6101333512340
712250613121
oct2645411544
9872024786
10378934116
111849978a0
12a6aa26b0
1360676c92
143847d748
1523401b96
hex16961364

378934116 has 96 divisors (see below), whose sum is σ = 996323328. Its totient is φ = 111106560.

The previous prime is 378934109. The next prime is 378934117. The reversal of 378934116 is 611439873.

It is not an unprimeable number, because it can be changed into a prime (378934117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638716 + ... + 639308.

It is an arithmetic number, because the mean of its divisors is an integer number (10378368).

Almost surely, 2378934116 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 378934116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498161664).

378934116 is an abundant number, since it is smaller than the sum of its proper divisors (617389212).

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

378934116 is a wasteful number, since it uses less digits than its factorization.

378934116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 759 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 378934116 is about 19466.2301435075. The cubic root of 378934116 is about 723.6377851981.

The spelling of 378934116 in words is "three hundred seventy-eight million, nine hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 103 132 141 188 206 282 309 412 517 564 593 618 1034 1133 1186 1236 1551 1779 2068 2266 2372 3102 3399 3558 4532 4841 6204 6523 6798 7116 9682 13046 13596 14523 19364 19569 26092 27871 29046 39138 53251 55742 58092 61079 78276 83613 106502 111484 122158 159753 167226 183237 213004 244316 306581 319506 334452 366474 613162 639012 671869 732948 919743 1226324 1343738 1839486 2015607 2687476 2870713 3678972 4031214 5741426 8062428 8612139 11482852 17224278 31577843 34448556 63155686 94733529 126311372 189467058 378934116