Search a number
-
+
842312305 = 55313723201
BaseRepresentation
bin110010001101001…
…010101001110001
32011200221220021001
4302031022221301
53211112443210
6215325402001
726605352002
oct6215125161
92150856231
10842312305
113a251077a
121b6109301
13105679063
147dc211a9
154de3403a
hex3234aa71

842312305 has 16 divisors (see below), whose sum is σ = 1037407824. Its totient is φ = 656281600.

The previous prime is 842312293. The next prime is 842312321. The reversal of 842312305 is 503213248.

It can be written as a sum of positive squares in 8 ways, for example, as 98168464 + 744143841 = 9908^2 + 27279^2 .

It is not a de Polignac number, because 842312305 - 29 = 842311793 is a prime.

It is a super-4 number, since 4×8423123054 (a number of 37 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24705 + ... + 47905.

It is an arithmetic number, because the mean of its divisors is an integer number (64837989).

Almost surely, 2842312305 is an apocalyptic number.

It is an amenable number.

842312305 is a deficient number, since it is larger than the sum of its proper divisors (195095519).

842312305 is a wasteful number, since it uses less digits than its factorization.

842312305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23396.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 842312305 is about 29022.6171287153. The cubic root of 842312305 is about 944.4037764598.

The spelling of 842312305 in words is "eight hundred forty-two million, three hundred twelve thousand, three hundred five".

Divisors: 1 5 53 137 265 685 7261 23201 36305 116005 1229653 3178537 6148265 15892685 168462461 842312305