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385584332 = 227213914153
BaseRepresentation
bin10110111110111…
…000110011001100
3222212112201021012
4112332320303030
51242202144312
6102132224352
712361261400
oct2676706314
9885481235
10385584332
1118871a241
12a916b0b8
1361b64c13
14392d1100
1523cb7322
hex16fb8ccc

385584332 has 36 divisors (see below), whose sum is σ = 790642440. Its totient is φ = 164049984.

The previous prime is 385584323. The next prime is 385584337. The reversal of 385584332 is 233485583.

It is a self number, because there is not a number n which added to its sum of digits gives 385584332.

It is not an unprimeable number, because it can be changed into a prime (385584337) 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 11 ways as a sum of consecutive naturals, for example, 20168 + ... + 34320.

It is an arithmetic number, because the mean of its divisors is an integer number (21962290).

Almost surely, 2385584332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385584332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395321220).

385584332 is an abundant number, since it is smaller than the sum of its proper divisors (405058108).

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

385584332 is a wasteful number, since it uses less digits than its factorization.

385584332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14310 (or 14301 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The square root of 385584332 is about 19636.3013828980. The cubic root of 385584332 is about 727.8464913015.

The spelling of 385584332 in words is "three hundred eighty-five million, five hundred eighty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 139 196 278 556 973 1946 3892 6811 13622 14153 27244 28306 56612 99071 198142 396284 693497 1386994 1967267 2773988 3934534 7869068 13770869 27541738 55083476 96396083 192792166 385584332