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380408250 = 23534189139
BaseRepresentation
bin10110101011001…
…001000110111010
3222111210202000110
4112223021012322
51234341031000
6101425245150
712266262645
oct2653110672
9874722013
10380408250
11185804392
12a74937b6
1360a71c51
1438744a5c
15235e3850
hex16ac91ba

380408250 has 128 divisors (see below), whose sum is σ = 990662400. Its totient is φ = 97152000.

The previous prime is 380408227. The next prime is 380408251. The reversal of 380408250 is 52804083.

380408250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (380408251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2736681 + ... + 2736819.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2380408250 is an apocalyptic number.

380408250 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 380408250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

380408250 is an abundant number, since it is smaller than the sum of its proper divisors (610254150).

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

380408250 is a wasteful number, since it uses less digits than its factorization.

380408250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 380408250 is about 19504.0572702194. The cubic root of 380408250 is about 724.5749391073.

The spelling of 380408250 in words is "three hundred eighty million, four hundred eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 89 123 125 139 150 178 205 246 250 267 278 375 410 417 445 534 615 695 750 834 890 1025 1230 1335 1390 2050 2085 2225 2670 3075 3475 3649 4170 4450 5125 5699 6150 6675 6950 7298 10250 10425 10947 11125 11398 12371 13350 15375 17097 17375 18245 20850 21894 22250 24742 28495 30750 33375 34194 34750 36490 37113 52125 54735 56990 61855 66750 74226 85485 91225 104250 109470 123710 142475 170970 182450 185565 273675 284950 309275 371130 427425 456125 507211 547350 618550 712375 854850 912250 927825 1014422 1368375 1424750 1521633 1546375 1855650 2137125 2536055 2736750 3043266 3092750 4274250 4639125 5072110 7608165 9278250 12680275 15216330 25360550 38040825 63401375 76081650 126802750 190204125 380408250