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2412304331 = 234110692393
BaseRepresentation
bin1000111111001000…
…1101011111001011
320020010011202102212
42033302031133023
514420022214311
61035212015335
7113531151143
oct21762153713
96203152385
102412304331
111028756a48
12573a6154b
132c5a06318
1418c543923
15e1ba6c8b
hex8fc8d7cb

2412304331 has 16 divisors (see below), whose sum is σ = 2582072640. Its totient is φ = 2248097280.

The previous prime is 2412304313. The next prime is 2412304379. The reversal of 2412304331 is 1334032142.

It is not a de Polignac number, because 2412304331 - 218 = 2412042187 is a prime.

It is a super-3 number, since 3×24123043313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2412304297 and 2412304306.

It is not an unprimeable number, because it can be changed into a prime (2412303331) 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 15 ways as a sum of consecutive naturals, for example, 1006871 + ... + 1009263.

It is an arithmetic number, because the mean of its divisors is an integer number (161379540).

Almost surely, 22412304331 is an apocalyptic number.

2412304331 is a deficient number, since it is larger than the sum of its proper divisors (169768309).

2412304331 is a wasteful number, since it uses less digits than its factorization.

2412304331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2412304331 is about 49115.2148626065. The cubic root of 2412304331 is about 1341.1500357723.

Adding to 2412304331 its reverse (1334032142), we get a palindrome (3746336473).

The spelling of 2412304331 in words is "two billion, four hundred twelve million, three hundred four thousand, three hundred thirty-one".

Divisors: 1 23 41 943 1069 2393 24587 43829 55039 98113 1008067 2256599 2558117 58836691 104882797 2412304331