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380243808 = 25347191103
BaseRepresentation
bin10110101010100…
…000111101100000
3222111111101110000
4112222200331200
51234320300213
6101421540000
712265006350
oct2652407540
9874441400
10380243808
1118570188a
12a7414600
1360a15149
1438700b60
15235aec73
hex16aa0f60

380243808 has 240 divisors, whose sum is σ = 1346526720. Its totient is φ = 102829824.

The previous prime is 380243807. The next prime is 380243887. The reversal of 380243808 is 808342083.

380243808 = 273 + 283 + ... + 1973.

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 not an unprimeable number, because it can be changed into a prime (380243807) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 344185 + ... + 345287.

It is an arithmetic number, because the mean of its divisors is an integer number (5610528).

Almost surely, 2380243808 is an apocalyptic number.

380243808 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 380243808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673263360).

380243808 is an abundant number, since it is smaller than the sum of its proper divisors (966282912).

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

380243808 is a wasteful number, since it uses less digits than its factorization.

380243808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1134 counting only the distinct ones).

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

The square root of 380243808 is about 19499.8412301229. The cubic root of 380243808 is about 724.4705181990.

The spelling of 380243808 in words is "three hundred eighty million, two hundred forty-three thousand, eight hundred eight".