Search a number
-
+
2382330401 = 11213721049
BaseRepresentation
bin1000110111111111…
…0111101000100001
320011000202220221022
42031333313220201
514334334033101
61032221335225
7113015321453
oct21577675041
96130686838
102382330401
111012844100
12565a07515
132bc740179
141885802d3
15de235a1b
hex8dff7a21

2382330401 has 18 divisors (see below), whose sum is σ = 2640362550. Its totient is φ = 2147896960.

The previous prime is 2382330397. The next prime is 2382330421. The reversal of 2382330401 is 1040332832.

It can be written as a sum of positive squares in 3 ways, for example, as 1031694400 + 1350636001 = 32120^2 + 36751^2 .

It is not a de Polignac number, because 2382330401 - 22 = 2382330397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2382330421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2270525 + ... + 2271573.

Almost surely, 22382330401 is an apocalyptic number.

It is an amenable number.

2382330401 is a deficient number, since it is larger than the sum of its proper divisors (258032149).

2382330401 is a wasteful number, since it uses less digits than its factorization.

2382330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2382330401 is about 48809.1221084748. The cubic root of 2382330401 is about 1335.5720779893.

The spelling of 2382330401 in words is "two billion, three hundred eighty-two million, three hundred thirty thousand, four hundred one".

Divisors: 1 11 121 137 1049 1507 11539 16577 18769 126929 143713 206459 1580843 2271049 17389273 19688681 216575491 2382330401