Search a number
-
+
376882128 = 243272311723
BaseRepresentation
bin10110011101101…
…100001111010000
3222021011121002100
4112131230033100
51232440212003
6101221520400
712224305500
oct2635541720
9867147070
10376882128
11183816137
12a6273100
1360108c9c
14380a7a00
1523148ba3
hex1676c3d0

376882128 has 180 divisors, whose sum is σ = 1267264128. Its totient is φ = 104146560.

The previous prime is 376882087. The next prime is 376882133. The reversal of 376882128 is 821288673.

376882128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 217875 + ... + 219597.

Almost surely, 2376882128 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 376882128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633632064).

376882128 is an abundant number, since it is smaller than the sum of its proper divisors (890382000).

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

376882128 is a wasteful number, since it uses less digits than its factorization.

376882128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1766 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 376882128 is about 19413.4522432256. The cubic root of 376882128 is about 722.3292160679.

The spelling of 376882128 in words is "three hundred seventy-six million, eight hundred eighty-two thousand, one hundred twenty-eight".