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384144644 = 221344916453
BaseRepresentation
bin10110111001011…
…001010100000100
3222202211120101102
4112321121110010
51241320112034
6102041315232
712343114142
oct2671312404
9882746342
10384144644
11187926614
12a8795b18
136177c830
1439038592
1523ad097e
hex16e59504

384144644 has 24 divisors (see below), whose sum is σ = 725621400. Its totient is φ = 176891904.

The previous prime is 384144637. The next prime is 384144727. The reversal of 384144644 is 446441483.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 90022144 + 294122500 = 9488^2 + 17150^2 .

It is a junction number, because it is equal to n+sod(n) for n = 384144598 and 384144607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15122 + ... + 31574.

It is an arithmetic number, because the mean of its divisors is an integer number (30234225).

Almost surely, 2384144644 is an apocalyptic number.

It is an amenable number.

384144644 is a deficient number, since it is larger than the sum of its proper divisors (341476756).

384144644 is a wasteful number, since it uses less digits than its factorization.

384144644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16919 (or 16917 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 384144644 is about 19599.6082613913. The cubic root of 384144644 is about 726.9394880344.

The spelling of 384144644 in words is "three hundred eighty-four million, one hundred forty-four thousand, six hundred forty-four".

Divisors: 1 2 4 13 26 52 449 898 1796 5837 11674 16453 23348 32906 65812 213889 427778 855556 7387397 14774794 29549588 96036161 192072322 384144644