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540430331 = 7433178301
BaseRepresentation
bin100000001101100…
…100111111111011
31101122220201001012
4200031210333323
52101322232311
6125343144135
716251403430
oct4015447773
91348821035
10540430331
11258071341
12130ba504b
1387c6c77c
1451abbb87
15326a278b
hex20364ffb

540430331 has 8 divisors (see below), whose sum is σ = 619064544. Its totient is φ = 462153600.

The previous prime is 540430279. The next prime is 540430351. The reversal of 540430331 is 133034045.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540430331 is a prime.

It is a super-2 number, since 2×5404303312 = 584129885329539122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540430297 and 540430306.

It is not an unprimeable number, because it can be changed into a prime (540430351) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 86120 + ... + 92181.

It is an arithmetic number, because the mean of its divisors is an integer number (77383068).

Almost surely, 2540430331 is an apocalyptic number.

540430331 is a deficient number, since it is larger than the sum of its proper divisors (78634213).

540430331 is a wasteful number, since it uses less digits than its factorization.

540430331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178741.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 540430331 is about 23247.1574821525. The cubic root of 540430331 is about 814.5415419961.

Adding to 540430331 its reverse (133034045), we get a palindrome (673464376).

The spelling of 540430331 in words is "five hundred forty million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 7 433 3031 178301 1248107 77204333 540430331