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368378208 = 2532113312
BaseRepresentation
bin10101111101010…
…000000101100000
3221200011112220100
4111331100011200
51223301100313
6100315342400
712062106642
oct2575200540
9850145810
10368378208
11179a38000
12a3451a00
135b41c393
1436cd2892
1522519173
hex15f50160

368378208 has 216 divisors, whose sum is σ = 1190622888. Its totient is φ = 108028800.

The previous prime is 368378167. The next prime is 368378237. The reversal of 368378208 is 802873863.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

368378208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11883153 + ... + 11883183.

It is an arithmetic number, because the mean of its divisors is an integer number (5512143).

Almost surely, 2368378208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368378208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595311444).

368378208 is an abundant number, since it is smaller than the sum of its proper divisors (822244680).

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

368378208 is a wasteful number, since it uses less digits than its factorization.

368378208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 368378208 is about 19193.1812891975. The cubic root of 368378208 is about 716.8549860495.

The spelling of 368378208 in words is "three hundred sixty-eight million, three hundred seventy-eight thousand, two hundred eight".