Search a number
-
+
2402132334 = 2371717319447
BaseRepresentation
bin1000111100101101…
…1010000101101110
320012102000222002020
42033023122011232
514404421213314
61034210011010
7113345534160
oct21713320556
96172028066
102402132334
111022a39638
12570576a66
132c38843a4
1418b056930
15e0d47da9
hex8f2da16e

2402132334 has 64 divisors (see below), whose sum is σ = 5847469056. Its totient is φ = 642184704.

The previous prime is 2402132297. The next prime is 2402132363. The reversal of 2402132334 is 4332312042.

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 31 ways as a sum of consecutive naturals, for example, 113799 + ... + 133245.

It is an arithmetic number, because the mean of its divisors is an integer number (91366704).

Almost surely, 22402132334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402132334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923734528).

2402132334 is an abundant number, since it is smaller than the sum of its proper divisors (3445336722).

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

2402132334 is a wasteful number, since it uses less digits than its factorization.

2402132334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19649.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2402132334 is about 49011.5530665985. The cubic root of 2402132334 is about 1339.2622979692.

Adding to 2402132334 its reverse (4332312042), we get a palindrome (6734444376).

The spelling of 2402132334 in words is "two billion, four hundred two million, one hundred thirty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 173 238 346 357 519 714 1038 1211 2422 2941 3633 5882 7266 8823 17646 19447 20587 38894 41174 58341 61761 116682 123522 136129 272258 330599 408387 661198 816774 991797 1983594 2314193 3364331 4628386 6728662 6942579 10092993 13885158 20185986 23550317 47100634 57193627 70650951 114387254 141301902 171580881 343161762 400355389 800710778 1201066167 2402132334