Search a number
-
+
378947444346 = 2321719611068499
BaseRepresentation
bin1011000001110110000…
…01110001111001111010
31100020010111110201211100
411200323001301321322
522202041021204341
6450030330512230
736243446062512
oct5407301617172
91306114421740
10378947444346
1113678aa53779
1261538895676
1329971b84b13
14144ac1ac842
159ccd5693b6
hex583b071e7a

378947444346 has 96 divisors (see below), whose sum is σ = 930107880000. Its totient is φ = 110781872640.

The previous prime is 378947444341. The next prime is 378947444353. The reversal of 378947444346 is 643444749873.

378947444346 is a `hidden beast` number, since 3 + 7 + 89 + 4 + 74 + 443 + 46 = 666.

378947444346 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (378947444341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179596 + ... + 888903.

It is an arithmetic number, because the mean of its divisors is an integer number (9688623750).

Almost surely, 2378947444346 is an apocalyptic number.

378947444346 is an abundant number, since it is smaller than the sum of its proper divisors (551160435654).

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

378947444346 is a wasteful number, since it uses less digits than its factorization.

378947444346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068604 (or 1068601 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 63.

The spelling of 378947444346 in words is "three hundred seventy-eight billion, nine hundred forty-seven million, four hundred forty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 61 102 114 122 153 171 183 306 323 342 366 549 646 969 1037 1098 1159 1938 2074 2318 2907 3111 3477 5814 6222 6954 9333 10431 18666 19703 20862 39406 59109 118218 177327 354654 1068499 2136998 3205497 6410994 9616491 18164483 19232982 20301481 36328966 40602962 54493449 60904443 65178439 108986898 121808886 130356878 163480347 182713329 195535317 326960694 345125177 365426658 391070634 586605951 690250354 1035375531 1108033463 1173211902 1238390341 2070751062 2216066926 2476780682 3106126593 3324100389 3715171023 6212253186 6648200778 7430342046 9972301167 11145513069 19944602334 21052635797 22291026138 42105271594 63157907391 126315814782 189473722173 378947444346