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319342842 = 2327131931331
BaseRepresentation
bin10011000010001…
…100100011111010
3211020220022000200
4103002030203322
51123222432332
651404343030
710625240460
oct2302144372
9736808020
10319342842
11154296005
128ab44a76
1351211080
14305aa830
151d08017c
hex1308c8fa

319342842 has 192 divisors, whose sum is σ = 928112640. Its totient is φ = 76982400.

The previous prime is 319342801. The next prime is 319342847. The reversal of 319342842 is 248243913.

319342842 is a `hidden beast` number, since 3 + 193 + 428 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 319342797 and 319342806.

It is not an unprimeable number, because it can be changed into a prime (319342847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 964617 + ... + 964947.

It is an arithmetic number, because the mean of its divisors is an integer number (4833920).

Almost surely, 2319342842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319342842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464056320).

319342842 is an abundant number, since it is smaller than the sum of its proper divisors (608769798).

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

319342842 is a wasteful number, since it uses less digits than its factorization.

319342842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 406 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 319342842 is about 17870.1662555221. The cubic root of 319342842 is about 683.5218393016.

The spelling of 319342842 in words is "three hundred nineteen million, three hundred forty-two thousand, eight hundred forty-two".