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388203288 = 2331119193401
BaseRepresentation
bin10111001000111…
…000001100011000
31000001110202210120
4113020320030120
51243340001123
6102304313240
712422450004
oct2710701430
91001422716
10388203288
1118a148970
12aa012820
1362570cb5
14397b3704
15241332e3
hex17238318

388203288 has 128 divisors (see below), whose sum is σ = 1123027200. Its totient is φ = 110592000.

The previous prime is 388203287. The next prime is 388203289. The reversal of 388203288 is 882302883.

It is an interprime number because it is at equal distance from previous prime (388203287) and next prime (388203289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388203281) 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, 967888 + ... + 968288.

It is an arithmetic number, because the mean of its divisors is an integer number (8773650).

Almost surely, 2388203288 is an apocalyptic number.

388203288 is a gapful number since it is divisible by the number (38) 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 388203288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561513600).

388203288 is an abundant number, since it is smaller than the sum of its proper divisors (734823912).

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

388203288 is a wasteful number, since it uses less digits than its factorization.

388203288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 388203288 is about 19702.8751201443. The cubic root of 388203288 is about 729.4906611554.

The spelling of 388203288 in words is "three hundred eighty-eight million, two hundred three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 193 209 228 264 386 401 418 456 579 627 772 802 836 1158 1203 1254 1544 1604 1672 2123 2316 2406 2508 3208 3667 4246 4411 4632 4812 5016 6369 7334 7619 8492 8822 9624 11001 12738 13233 14668 15238 16984 17644 22002 22857 25476 26466 29336 30476 35288 40337 44004 45714 50952 52932 60952 77393 80674 83809 88008 91428 105864 121011 154786 161348 167618 182856 232179 242022 251427 309572 322696 335236 464358 484044 502854 619144 670472 851323 928716 968088 1005708 1470467 1702646 1857432 2011416 2553969 2940934 3405292 4411401 5107938 5881868 6810584 8822802 10215876 11763736 16175137 17645604 20431752 32350274 35291208 48525411 64700548 97050822 129401096 194101644 388203288