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3431342321 = 112296731453
BaseRepresentation
bin1100110010000110…
…0010000011110001
322212010200020202122
43030201202003301
524011410423241
61324253324025
7151013633321
oct31441420361
98763606678
103431342321
1115009a3300
127b9196615
13428b7aa94
14247a09281
1515139904b
hexcc8620f1

3431342321 has 24 divisors (see below), whose sum is σ = 3910184040. Its totient is φ = 3005291520.

The previous prime is 3431342273. The next prime is 3431342329. The reversal of 3431342321 is 1232431343.

It can be written as a sum of positive squares in 4 ways, for example, as 1193011600 + 2238330721 = 34540^2 + 47311^2 .

It is not a de Polignac number, because 3431342321 - 222 = 3427148017 is a prime.

It is a super-2 number, since 2×34313423212 = 23548220247771334082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3431342329) 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 23 ways as a sum of consecutive naturals, for example, 2360831 + ... + 2362283.

It is an arithmetic number, because the mean of its divisors is an integer number (162924335).

Almost surely, 23431342321 is an apocalyptic number.

It is an amenable number.

3431342321 is a deficient number, since it is larger than the sum of its proper divisors (478841719).

3431342321 is a wasteful number, since it uses less digits than its factorization.

3431342321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2166 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 3431342321 is about 58577.6605968521. The cubic root of 3431342321 is about 1508.3009881759.

Adding to 3431342321 its reverse (1232431343), we get a palindrome (4663773664).

The spelling of 3431342321 in words is "three billion, four hundred thirty-one million, three hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 11 29 121 319 673 1453 3509 7403 15983 19517 42137 81433 175813 214687 463507 977869 2361557 5098577 10756559 28358201 118322149 311940211 3431342321