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388926240 = 25353761359
BaseRepresentation
bin10111001011101…
…000101100100000
31000002211111111120
4113023220230200
51244031114430
6102332012240
712431550513
oct2713505440
91002744446
10388926240
1118a5a204a
12aa301080
1362765091
1439920d7a
1524227610
hex172e8b20

388926240 has 192 divisors, whose sum is σ = 1282417920. Its totient is φ = 98979840.

The previous prime is 388926227. The next prime is 388926259. The reversal of 388926240 is 42629883.

It is a junction number, because it is equal to n+sod(n) for n = 388926192 and 388926201.

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 31 ways as a sum of consecutive naturals, for example, 1083181 + ... + 1083539.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2388926240 is an apocalyptic number.

388926240 is a gapful number since it is divisible by the number (30) 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 388926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

388926240 is an abundant number, since it is smaller than the sum of its proper divisors (893491680).

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

388926240 is a wasteful number, since it uses less digits than its factorization.

388926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 388926240 is about 19721.2129444413. The cubic root of 388926240 is about 729.9432244579.

The spelling of 388926240 in words is "three hundred eighty-eight million, nine hundred twenty-six thousand, two hundred forty".