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388243296 = 25327192581
BaseRepresentation
bin10111001001000…
…001111101100000
31000001112210200100
4113021001331200
51243342241141
6102305222400
712423004440
oct2711017540
91001483610
10388243296
1118a175a31
12aa031a00
136258627c
14397c4120
15241400b6
hex17241f60

388243296 has 72 divisors (see below), whose sum is σ = 1261797264. Its totient is φ = 110926080.

The previous prime is 388243279. The next prime is 388243301. The reversal of 388243296 is 692342883.

388243296 is a `hidden beast` number, since 388 + 243 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 94275 + ... + 98306.

It is an arithmetic number, because the mean of its divisors is an integer number (17524962).

Almost surely, 2388243296 is an apocalyptic number.

388243296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

388243296 is an abundant number, since it is smaller than the sum of its proper divisors (873553968).

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

388243296 is a wasteful number, since it uses less digits than its factorization.

388243296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192604 (or 192593 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 388243296 is about 19703.8903772834. The cubic root of 388243296 is about 729.5157205857.

The spelling of 388243296 in words is "three hundred eighty-eight million, two hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 192581 385162 577743 770324 1155486 1348067 1540648 1733229 2310972 2696134 3081296 3466458 4044201 4621944 5392268 6162592 6932916 8088402 9243888 10784536 12132603 13865832 16176804 18487776 21569072 24265206 27731664 32353608 43138144 48530412 55463328 64707216 97060824 129414432 194121648 388243296