Search a number
-
+
331654050 = 232527213289
BaseRepresentation
bin10011110001001…
…010001110100010
3212010001202211100
4103301022032202
51134400412200
652524255230
711135004300
oct2361121642
9763052740
10331654050
11160234662
12930a1516
1353931900
1432093270
151e1b2d00
hex13c4a3a2

331654050 has 324 divisors, whose sum is σ = 1134997110. Its totient is φ = 69189120.

The previous prime is 331654049. The next prime is 331654067. The reversal of 331654050 is 50456133.

331654050 is a `hidden beast` number, since 3 + 3 + 1 + 654 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 30041361 + 301612689 = 5481^2 + 17367^2 .

It is a Curzon number.

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 3726406 + ... + 3726494.

Almost surely, 2331654050 is an apocalyptic number.

331654050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331654050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567498555).

331654050 is an abundant number, since it is smaller than the sum of its proper divisors (803343060).

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

331654050 is a wasteful number, since it uses less digits than its factorization.

331654050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 331654050 is about 18211.3714475324. The cubic root of 331654050 is about 692.1949635542.

The spelling of 331654050 in words is "three hundred thirty-one million, six hundred fifty-four thousand, fifty".