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380833245 = 385131947
BaseRepresentation
bin10110101100110…
…000110111011101
3222112121100000000
4112230300313131
51234443130440
6101442324513
712303013002
oct2654606735
9875540000
10380833245
11185a74721
12a7659739
1360b90520
14388158a9
1523679730
hex16b30ddd

380833245 has 144 divisors (see below), whose sum is σ = 793578240. Its totient is φ = 173840256.

The previous prime is 380833237. The next prime is 380833301. The reversal of 380833245 is 542338083.

380833245 is a `hidden beast` number, since 380 + 8 + 33 + 245 = 666.

It is not a de Polignac number, because 380833245 - 23 = 380833237 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8102812 + ... + 8102858.

It is an arithmetic number, because the mean of its divisors is an integer number (5510960).

Almost surely, 2380833245 is an apocalyptic number.

It is an amenable number.

380833245 is an abundant number, since it is smaller than the sum of its proper divisors (412744995).

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

380833245 is an equidigital number, since it uses as much as digits as its factorization.

380833245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 380833245 is about 19514.9492697265. The cubic root of 380833245 is about 724.8446722335.

It can be divided in two parts, 38083 and 3245, that added together give a triangular number (41328 = T287).

The spelling of 380833245 in words is "three hundred eighty million, eight hundred thirty-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 47 57 65 81 95 117 135 141 171 195 235 243 247 285 351 405 423 513 585 611 705 729 741 855 893 1053 1215 1235 1269 1539 1755 1833 2115 2187 2223 2565 2679 3055 3159 3645 3705 3807 4465 4617 5265 5499 6345 6561 6669 7695 8037 9165 9477 10935 11115 11421 11609 13395 13851 15795 16497 19035 20007 23085 24111 27495 28431 32805 33345 34263 34827 40185 41553 47385 49491 57105 58045 60021 69255 72333 82485 85293 100035 102789 104481 120555 124659 142155 148473 171315 174135 180063 207765 216999 247455 300105 308367 313443 361665 426465 445419 513945 522405 540189 623295 650997 742365 900315 940329 1084995 1336257 1541835 1567215 1620567 1952991 2227095 2700945 2820987 3254985 4008771 4701645 5858973 6681285 8102835 8462961 9764955 14104935 20043855 25388883 29294865 42314805 76166649 126944415 380833245