Search a number
-
+
2330342313 = 313236142589
BaseRepresentation
bin1000101011100110…
…0011001110101001
320000101221122200120
42022321203032221
514233031423223
61023123153453
7111514403625
oct21271431651
96011848616
102330342313
11a96465742
12550515889
132b1a39ba0
141816ca185
15d98b6be3
hex8ae633a9

2330342313 has 32 divisors (see below), whose sum is σ = 3548939520. Its totient is φ = 1349187840.

The previous prime is 2330342291. The next prime is 2330342321. The reversal of 2330342313 is 3132430332.

It is a happy number.

2330342313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2330342313 - 26 = 2330342249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2330342393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33423 + ... + 76011.

It is an arithmetic number, because the mean of its divisors is an integer number (110904360).

Almost surely, 22330342313 is an apocalyptic number.

2330342313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2330342313 is a deficient number, since it is larger than the sum of its proper divisors (1218597207).

2330342313 is a wasteful number, since it uses less digits than its factorization.

2330342313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42689.

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 2330342313 is about 48273.6192241684. The cubic root of 2330342313 is about 1325.7854250135.

Adding to 2330342313 its reverse (3132430332), we get a palindrome (5462772645).

The spelling of 2330342313 in words is "two billion, three hundred thirty million, three hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 13 23 39 61 69 183 299 793 897 1403 2379 4209 18239 42589 54717 127767 553657 979547 1660971 2597929 2938641 7793787 12734111 33773077 38202333 59752367 101319231 179257101 776780771 2330342313