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314292042 = 2336786869
BaseRepresentation
bin10010101110111…
…011011101001010
3210220101200122000
4102232323131022
51120424321132
651104211430
710534303221
oct2256733512
9726350560
10314292042
11151456299
1289309b76
135016312c
142da53cb8
151c8d387c
hex12bbb74a

314292042 has 32 divisors (see below), whose sum is σ = 708859200. Its totient is φ = 103199184.

The previous prime is 314292029. The next prime is 314292047. The reversal of 314292042 is 240292413.

314292042 is a `hidden beast` number, since 31 + 429 + 204 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314291997 and 314292015.

It is not an unprimeable number, because it can be changed into a prime (314292047) 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 15 ways as a sum of consecutive naturals, for example, 39817 + ... + 47052.

It is an arithmetic number, because the mean of its divisors is an integer number (22151850).

Almost surely, 2314292042 is an apocalyptic number.

314292042 is an abundant number, since it is smaller than the sum of its proper divisors (394567158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314292042 is a wasteful number, since it uses less digits than its factorization.

314292042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86947 (or 86941 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 314292042 is about 17728.2836732719. The cubic root of 314292042 is about 679.8990925815.

The spelling of 314292042 in words is "three hundred fourteen million, two hundred ninety-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 86869 173738 260607 521214 781821 1563642 2345463 4690926 5820223 11640446 17460669 34921338 52382007 104764014 157146021 314292042