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387648324 = 223272635849
BaseRepresentation
bin10111000110110…
…000101101000100
31000000102120112100
4113012300231010
51243214221244
6102244352100
712414646020
oct2706605504
91000376470
10387648324
111898a9a18
12a99a5630
136240850b
14396ab380
1524073b69
hex171b0b44

387648324 has 72 divisors (see below), whose sum is σ = 1124323200. Its totient is φ = 110316672.

The previous prime is 387648319. The next prime is 387648337. The reversal of 387648324 is 423846783.

It is a self number, because there is not a number n which added to its sum of digits gives 387648324.

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 23 ways as a sum of consecutive naturals, for example, 63352 + ... + 69200.

It is an arithmetic number, because the mean of its divisors is an integer number (15615600).

Almost surely, 2387648324 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 387648324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562161600).

387648324 is an abundant number, since it is smaller than the sum of its proper divisors (736674876).

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

387648324 is a wasteful number, since it uses less digits than its factorization.

387648324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6124 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 387648324 is about 19688.7867579493. The cubic root of 387648324 is about 729.1428759120.

The spelling of 387648324 in words is "three hundred eighty-seven million, six hundred forty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263 526 789 1052 1578 1841 2367 3156 3682 4734 5523 5849 7364 9468 11046 11698 16569 17547 22092 23396 33138 35094 40943 52641 66276 70188 81886 105282 122829 163772 210564 245658 368487 491316 736974 1473948 1538287 3076574 4614861 6153148 9229722 10768009 13844583 18459444 21536018 27689166 32304027 43072036 55378332 64608054 96912081 129216108 193824162 387648324