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388098144 = 25327311619
BaseRepresentation
bin10111001000011…
…110100001100000
31000001021102120100
4113020132201200
51243323120034
6102302142400
712421531320
oct2710364140
91001242510
10388098144
1118a086975
12a9b81a00
1362535195
1439787280
1524112099
hex1721e860

388098144 has 144 divisors (see below), whose sum is σ = 1267418880. Its totient is φ = 110350080.

The previous prime is 388098133. The next prime is 388098163. The reversal of 388098144 is 441890883.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 388098144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626667 + ... + 627285.

It is an arithmetic number, because the mean of its divisors is an integer number (8801520).

Almost surely, 2388098144 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 388098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

388098144 is an abundant number, since it is smaller than the sum of its proper divisors (879320736).

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

388098144 is a wasteful number, since it uses less digits than its factorization.

388098144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 388098144 is about 19700.2066994232. The cubic root of 388098144 is about 729.4247948989.

The spelling of 388098144 in words is "three hundred eighty-eight million, ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 311 336 504 619 622 672 933 1008 1238 1244 1857 1866 2016 2177 2476 2488 2799 3714 3732 4333 4354 4952 4976 5571 5598 6531 7428 7464 8666 8708 9904 9952 11142 11196 12999 13062 14856 14928 17332 17416 19593 19808 22284 22392 25998 26124 29712 29856 34664 34832 38997 39186 44568 44784 51996 52248 59424 69328 69664 77994 78372 89136 89568 103992 104496 138656 155988 156744 178272 192509 207984 208992 311976 313488 385018 415968 577527 623952 626976 770036 1155054 1247904 1347563 1540072 1732581 2310108 2695126 3080144 3465162 4042689 4620216 5390252 6160288 6930324 8085378 9240432 10780504 12128067 13860648 16170756 18480864 21561008 24256134 27721296 32341512 43122016 48512268 55442592 64683024 97024536 129366048 194049072 388098144