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284106431 = 7172387449
BaseRepresentation
bin10000111011110…
…001111010111111
3201210121002202102
4100323301322333
51040212401211
644105215315
710016602430
oct2073617277
9653532672
10284106431
11136409404
127b19153b
1346b2481b
1429a37487
1519e1ea3b
hex10ef1ebf

284106431 has 8 divisors (see below), whose sum is σ = 343792800. Its totient is φ = 229195008.

The previous prime is 284106421. The next prime is 284106439. The reversal of 284106431 is 134601482.

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

It is not a de Polignac number, because 284106431 - 226 = 216997567 is a prime.

It is a super-2 number, since 2×2841064312 = 161432928271115522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 284106394 and 284106403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284106439) 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 7 ways as a sum of consecutive naturals, for example, 1193606 + ... + 1193843.

It is an arithmetic number, because the mean of its divisors is an integer number (42974100).

Almost surely, 2284106431 is an apocalyptic number.

284106431 is a deficient number, since it is larger than the sum of its proper divisors (59686369).

284106431 is a wasteful number, since it uses less digits than its factorization.

284106431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387473.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 284106431 is about 16855.4570095266. The cubic root of 284106431 is about 657.3959458866.

The spelling of 284106431 in words is "two hundred eighty-four million, one hundred six thousand, four hundred thirty-one".

Divisors: 1 7 17 119 2387449 16712143 40586633 284106431