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378164850 = 235272232237
BaseRepresentation
bin10110100010100…
…101011001110010
3222100120202122120
4112202211121302
51233302233400
6101305215110
712241230300
oct2642453162
9870522576
10378164850
11184511938
12a6791496
1360467aab
143831d270
15232edca0
hex168a5672

378164850 has 144 divisors (see below), whose sum is σ = 1138909248. Its totient is φ = 82642560.

The previous prime is 378164837. The next prime is 378164851. The reversal of 378164850 is 58461873.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (378164851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167932 + ... + 170168.

It is an arithmetic number, because the mean of its divisors is an integer number (7909092).

Almost surely, 2378164850 is an apocalyptic number.

378164850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378164850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569454624).

378164850 is an abundant number, since it is smaller than the sum of its proper divisors (760744398).

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

378164850 is a wasteful number, since it uses less digits than its factorization.

378164850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 378164850 is about 19446.4611176430. The cubic root of 378164850 is about 723.1477729586.

The spelling of 378164850 in words is "three hundred seventy-eight million, one hundred sixty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 49 50 69 70 75 98 105 115 138 147 150 161 175 210 230 245 294 322 345 350 483 490 525 575 690 735 805 966 1050 1127 1150 1225 1470 1610 1725 2237 2254 2415 2450 3381 3450 3675 4025 4474 4830 5635 6711 6762 7350 8050 11185 11270 12075 13422 15659 16905 22370 24150 28175 31318 33555 33810 46977 51451 55925 56350 67110 78295 84525 93954 102902 109613 111850 154353 156590 167775 169050 219226 234885 257255 308706 328839 335550 360157 391475 469770 514510 548065 657678 720314 771765 782950 1080471 1096130 1174425 1286275 1543530 1644195 1800785 2160942 2348850 2521099 2572550 2740325 3288390 3601570 3858825 5042198 5402355 5480650 7563297 7717650 8220975 9003925 10804710 12605495 15126594 16441950 18007850 25210990 27011775 37816485 54023550 63027475 75632970 126054950 189082425 378164850