Search a number
-
+
134822376 = 2332131737229
BaseRepresentation
bin10000000100100…
…11100111101000
3100101200200112100
420002103213220
5234003304001
621213413400
73224654103
oct1002234750
9311620470
10134822376
116a116057
123919a260
1321c16770
1413c9773a
15bc82586
hex80939e8

134822376 has 192 divisors, whose sum is σ = 429483600. Its totient is φ = 37822464.

The previous prime is 134822341. The next prime is 134822377. The reversal of 134822376 is 673228431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 119377476 + 15444900 = 10926^2 + 3930^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134822376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134822377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588630 + ... + 588858.

Almost surely, 2134822376 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 134822376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214741800).

134822376 is an abundant number, since it is smaller than the sum of its proper divisors (294661224).

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

134822376 is a wasteful number, since it uses less digits than its factorization.

134822376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 134822376 is about 11611.3038027605. The cubic root of 134822376 is about 512.7676980212.

The spelling of 134822376 in words is "one hundred thirty-four million, eight hundred twenty-two thousand, three hundred seventy-six".