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319864842 = 23311599127
BaseRepresentation
bin10011000100001…
…100000000001010
3211021212211002000
4103010030000022
51123341133332
651423451430
710632543363
oct2304140012
9737784060
10319864842
11154612210
128b156b76
135136484b
14306a4b6a
151d134b7c
hex1310c00a

319864842 has 64 divisors (see below), whose sum is σ = 788659200. Its totient is φ = 95275440.

The previous prime is 319864813. The next prime is 319864859. The reversal of 319864842 is 248468913.

Added to its reverse (248468913) it gives a triangular number (568333755 = T33714).

It is a happy number.

319864842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30483 + ... + 39609.

It is an arithmetic number, because the mean of its divisors is an integer number (12322800).

Almost surely, 2319864842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319864842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394329600).

319864842 is an abundant number, since it is smaller than the sum of its proper divisors (468794358).

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

319864842 is a wasteful number, since it uses less digits than its factorization.

319864842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 9202 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 319864842 is about 17884.7656400636. The cubic root of 319864842 is about 683.8940663892.

Adding to 319864842 its reverse (248468913), we get a triangular number (568333755 = T33714).

The spelling of 319864842 in words is "three hundred nineteen million, eight hundred sixty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1947 3186 3894 5841 9127 11682 17523 18254 27381 35046 54762 82143 100397 164286 200794 246429 301191 492858 538493 602382 903573 1076986 1615479 1807146 2710719 3230958 4846437 5421438 5923423 9692874 11846846 14539311 17770269 29078622 35540538 53310807 106621614 159932421 319864842