Search a number
-
+
376057728 = 2734192383
BaseRepresentation
bin10110011010100…
…010111110000000
3222012121201020000
4112122202332000
51232232321403
6101152120000
712214303134
oct2632427600
9865551200
10376057728
11183302812
12a5b36000
135cbaa987
1437d313c4
15230347a3
hex166a2f80

376057728 has 320 divisors, whose sum is σ = 1244073600. Its totient is φ = 112223232.

The previous prime is 376057711. The next prime is 376057729. The reversal of 376057728 is 827750673.

376057728 is a `hidden beast` number, since 3 + 76 + 0 + 577 + 2 + 8 = 666.

It is a super-3 number, since 3×3760577283 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376057729) 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, 4530775 + ... + 4530857.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2376057728 is an apocalyptic number.

376057728 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 376057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622036800).

376057728 is an abundant number, since it is smaller than the sum of its proper divisors (868015872).

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

376057728 is a wasteful number, since it uses less digits than its factorization.

376057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 376057728 is about 19392.2079196774. The cubic root of 376057728 is about 721.8021521361.

The spelling of 376057728 in words is "three hundred seventy-six million, fifty-seven thousand, seven hundred twenty-eight".