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7238313 = 322927733
BaseRepresentation
bin11011100111001010101001
3111121202002200
4123213022221
53323111223
6415050413
7115344645
oct33471251
914552080
107238313
1140a4285
122510a09
131665834
14d65c25
1597ea43
hex6e72a9

7238313 has 12 divisors (see below), whose sum is σ = 10816260. Its totient is φ = 4658976.

The previous prime is 7238303. The next prime is 7238339. The reversal of 7238313 is 3138327.

7238313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 4652649 = 1608^2 + 2157^2 .

It is not a de Polignac number, because 7238313 - 28 = 7238057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7238303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13606 + ... + 14127.

It is an arithmetic number, because the mean of its divisors is an integer number (901355).

Almost surely, 27238313 is an apocalyptic number.

It is an amenable number.

7238313 is a deficient number, since it is larger than the sum of its proper divisors (3577947).

7238313 is a wasteful number, since it uses less digits than its factorization.

7238313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27768 (or 27765 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 7238313 is about 2690.4113068451. The cubic root of 7238313 is about 193.4397785475.

The spelling of 7238313 in words is "seven million, two hundred thirty-eight thousand, three hundred thirteen".

Divisors: 1 3 9 29 87 261 27733 83199 249597 804257 2412771 7238313