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376381168 = 24313720509
BaseRepresentation
bin10110011011110…
…001111011110000
3222020020010220021
4112123301323300
51232323144133
6101203053224
712220121122
oct2633617360
9866203807
10376381168
11183503819
12a6071214
135cc91c67
1437db7212
152309a52d
hex166f1ef0

376381168 has 40 divisors (see below), whose sum is σ = 773144960. Its totient is φ = 177189120.

The previous prime is 376381147. The next prime is 376381231. The reversal of 376381168 is 861183673.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8098 + ... + 28606.

It is an arithmetic number, because the mean of its divisors is an integer number (19328624).

Almost surely, 2376381168 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 376381168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386572480).

376381168 is an abundant number, since it is smaller than the sum of its proper divisors (396763792).

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

376381168 is a wasteful number, since it uses less digits than its factorization.

376381168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20585 (or 20579 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 376381168 is about 19400.5455593393. The cubic root of 376381168 is about 722.0090288745.

The spelling of 376381168 in words is "three hundred seventy-six million, three hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1147 2294 4588 9176 18352 20509 41018 82036 164072 328144 635779 758833 1271558 1517666 2543116 3035332 5086232 6070664 10172464 12141328 23523823 47047646 94095292 188190584 376381168