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378271640340 = 2232511266371741
BaseRepresentation
bin1011000000100101011…
…11110010101100010100
31100011101101211100000100
411200102233302230110
522144200014442330
6445435310014100
736220631614446
oct5402257625424
91304341740010
10378271640340
11136473530170
126138a4a7330
1329894b679a9
1414446532496
159c8e076060
hex5812bf2b14

378271640340 has 144 divisors (see below), whose sum is σ = 1252222747776. Its totient is φ = 91666502400.

The previous prime is 378271640293. The next prime is 378271640377. The reversal of 378271640340 is 43046172873.

378271640340 is a `hidden beast` number, since 37 + 8 + 271 + 6 + 4 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5236870 + ... + 5308610.

It is an arithmetic number, because the mean of its divisors is an integer number (8695991304).

Almost surely, 2378271640340 is an apocalyptic number.

378271640340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378271640340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626111373888).

378271640340 is an abundant number, since it is smaller than the sum of its proper divisors (873951107436).

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

378271640340 is a wasteful number, since it uses less digits than its factorization.

378271640340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74430 (or 74425 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 378271640340 in words is "three hundred seventy-eight billion, two hundred seventy-one million, six hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2663 5326 7989 10652 13315 15978 23967 26630 29293 31956 39945 47934 53260 58586 71741 79890 87879 95868 117172 119835 143482 146465 159780 175758 215223 239670 263637 286964 292930 351516 358705 430446 439395 479340 527274 585860 645669 717410 789151 860892 878790 1054548 1076115 1291338 1318185 1434820 1578302 1757580 2152230 2367453 2582676 2636370 3156604 3228345 3945755 4304460 4734906 5272740 6456690 7102359 7891510 9469812 11837265 12913380 14204718 15783020 23674530 28409436 35511795 47349060 71023590 142047180 191046283 382092566 573138849 764185132 955231415 1146277698 1719416547 1910462830 2101509113 2292555396 2865694245 3438833094 3820925660 4203018226 5731388490 6304527339 6877666188 8406036452 8597082735 10507545565 11462776980 12609054678 17194165470 18913582017 21015091130 25218109356 31522636695 34388330940 37827164034 42030182260 63045273390 75654328068 94567910085 126090546780 189135820170 378271640340