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642304314 = 232311151083
BaseRepresentation
bin100110010010001…
…100100100111010
31122202121102212200
4212102030210322
52303412214224
6143422451030
721626332221
oct4622144472
91582542780
10642304314
112aa622813
1215b133a76
13a30bb232
1461439cb8
153b5c75c9
hex2648c93a

642304314 has 24 divisors (see below), whose sum is σ = 1436552832. Its totient is φ = 207194760.

The previous prime is 642304261. The next prime is 642304331. The reversal of 642304314 is 413403246.

642304314 is a `hidden beast` number, since 6 + 42 + 304 + 314 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574984 + ... + 576099.

It is an arithmetic number, because the mean of its divisors is an integer number (59856368).

Almost surely, 2642304314 is an apocalyptic number.

642304314 is an abundant number, since it is smaller than the sum of its proper divisors (794248518).

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

642304314 is a wasteful number, since it uses less digits than its factorization.

642304314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151122 (or 1151119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 642304314 is about 25343.7233649675. The cubic root of 642304314 is about 862.8069067842.

The spelling of 642304314 in words is "six hundred forty-two million, three hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1151083 2302166 3453249 6906498 10359747 20719494 35683573 71367146 107050719 214101438 321152157 642304314