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384969375 = 335473259
BaseRepresentation
bin10110111100100…
…010101010011111
3222211101110201000
4112330202222133
51242023010000
6102111121343
712353120460
oct2674425237
9884343630
10384969375
1118833a20a
12a8b13253
13619ab03b
14391b0d67
1523be5000
hex16f22a9f

384969375 has 80 divisors (see below), whose sum is σ = 814739200. Its totient is φ = 175932000.

The previous prime is 384969373. The next prime is 384969379. The reversal of 384969375 is 573969483.

It is not a de Polignac number, because 384969375 - 21 = 384969373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384969371) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 116496 + ... + 119754.

It is an arithmetic number, because the mean of its divisors is an integer number (10184240).

Almost surely, 2384969375 is an apocalyptic number.

384969375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

384969375 is an abundant number, since it is smaller than the sum of its proper divisors (429769825).

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

384969375 is an equidigital number, since it uses as much as digits as its factorization.

384969375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3274 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 384969375 is about 19620.6364575668. The cubic root of 384969375 is about 727.4593451614.

The spelling of 384969375 in words is "three hundred eighty-four million, nine hundred sixty-nine thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 625 675 875 945 1125 1575 1875 2625 3259 3375 4375 4725 5625 7875 9777 13125 16295 16875 22813 23625 29331 39375 48885 68439 81475 87993 114065 118125 146655 205317 244425 342195 407375 439965 570325 615951 733275 1026585 1222125 1710975 2036875 2199825 2851625 3079755 3666375 5132925 6110625 8554875 10999125 14258125 15398775 18331875 25664625 42774375 54995625 76993875 128323125 384969375