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384193485 = 32513656741
BaseRepresentation
bin10110111001100…
…101001111001101
3222202221001101100
4112321211033031
51241323142420
6102042333313
712343406424
oct2671451715
9882831340
10384193485
1118795a285
12a87ba239
1361798b30
143904c2bb
1523ae0190
hex16e653cd

384193485 has 24 divisors (see below), whose sum is σ = 717162264. Its totient is φ = 189141120.

The previous prime is 384193483. The next prime is 384193501. The reversal of 384193485 is 584391483.

384193485 is a `hidden beast` number, since 3 + 84 + 1 + 93 + 485 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 383415561 = 882^2 + 19581^2 .

It is not a de Polignac number, because 384193485 - 21 = 384193483 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 384193485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384193483) 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 23 ways as a sum of consecutive naturals, for example, 327786 + ... + 328955.

It is an arithmetic number, because the mean of its divisors is an integer number (29881761).

Almost surely, 2384193485 is an apocalyptic number.

It is an amenable number.

384193485 is a deficient number, since it is larger than the sum of its proper divisors (332968779).

384193485 is a wasteful number, since it uses less digits than its factorization.

384193485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656765 (or 656762 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 384193485 is about 19600.8541905704. The cubic root of 384193485 is about 726.9702949605.

The spelling of 384193485 in words is "three hundred eighty-four million, one hundred ninety-three thousand, four hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 656741 1970223 3283705 5910669 8537633 9851115 25612899 29553345 42688165 76838697 128064495 384193485