Search a number
-
+
388071216 = 243313431607
BaseRepresentation
bin10111001000010…
…111111100110000
31000001020001122000
4113020113330300
51243321234331
6102301414000
712421356651
oct2710277460
91001201560
10388071216
1118a068715
12a9b6a300
1362525b50
143977b528
15241090e6
hex17217f30

388071216 has 160 divisors (see below), whose sum is σ = 1228254720. Its totient is φ = 116557056.

The previous prime is 388071199. The next prime is 388071217. The reversal of 388071216 is 612170883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (388071217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240685 + ... + 242291.

It is an arithmetic number, because the mean of its divisors is an integer number (7676592).

Almost surely, 2388071216 is an apocalyptic number.

388071216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388071216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614127360).

388071216 is an abundant number, since it is smaller than the sum of its proper divisors (840183504).

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

388071216 is a wasteful number, since it uses less digits than its factorization.

388071216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 388071216 is about 19699.5232429620. The cubic root of 388071216 is about 729.4079242478.

The spelling of 388071216 in words is "three hundred eighty-eight million, seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 432 468 516 559 624 688 702 774 936 1032 1118 1161 1404 1548 1607 1677 1872 2064 2236 2322 2808 3096 3214 3354 4472 4644 4821 5031 5616 6192 6428 6708 8944 9288 9642 10062 12856 13416 14463 15093 18576 19284 20124 20891 25712 26832 28926 30186 38568 40248 41782 43389 57852 60372 62673 69101 77136 80496 83564 86778 115704 120744 125346 138202 167128 173556 188019 207303 231408 241488 250692 276404 334256 347112 376038 414606 501384 552808 564057 621909 694224 752076 829212 898313 1002768 1105616 1128114 1243818 1504152 1658424 1796626 1865727 2256228 2487636 2694939 3008304 3316848 3593252 3731454 4512456 4975272 5389878 7186504 7462908 8084817 9024912 9950544 10779756 14373008 14925816 16169634 21559512 24254451 29851632 32339268 43119024 48508902 64678536 97017804 129357072 194035608 388071216