Search a number
-
+
388243800 = 233352710271
BaseRepresentation
bin10111001001000…
…010000101011000
31000001112211101000
4113021002011120
51243342300200
6102305225000
712423006060
oct2711020530
91001484330
10388243800
1118a17634a
12aa032160
1362586579
14397c43a0
1524140300
hex17242158

388243800 has 192 divisors, whose sum is σ = 1528473600. Its totient is φ = 88732800.

The previous prime is 388243799. The next prime is 388243811. The reversal of 388243800 is 8342883.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32665 + ... + 42935.

It is an arithmetic number, because the mean of its divisors is an integer number (7960800).

Almost surely, 2388243800 is an apocalyptic number.

388243800 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 388243800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764236800).

388243800 is an abundant number, since it is smaller than the sum of its proper divisors (1140229800).

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

388243800 is a wasteful number, since it uses less digits than its factorization.

388243800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 388243800 is about 19703.9031666317. The cubic root of 388243800 is about 729.5160362604.

It can be divided in two parts, 38824 and 3800, that added together give a palindrome (42624).

The spelling of 388243800 in words is "three hundred eighty-eight million, two hundred forty-three thousand, eight hundred".