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319042900 = 225211290039
BaseRepresentation
bin10011000001000…
…011010101010100
3211020100001120201
4103001003111110
51123133333100
651354110244
710622551141
oct2301032524
9736301521
10319042900
11154100720
128aa1b384
13511376a7
143052d3c8
151d02136a
hex13043554

319042900 has 36 divisors (see below), whose sum is σ = 755264160. Its totient is φ = 116015200.

The previous prime is 319042873. The next prime is 319042921. The reversal of 319042900 is 9240913.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143920 + ... + 146119.

It is an arithmetic number, because the mean of its divisors is an integer number (20979560).

Almost surely, 2319042900 is an apocalyptic number.

It is an amenable number.

319042900 is an abundant number, since it is smaller than the sum of its proper divisors (436221260).

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

319042900 is a wasteful number, since it uses less digits than its factorization.

319042900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290064 (or 290057 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 319042900 is about 17861.7720285530. The cubic root of 319042900 is about 683.3077735168.

The spelling of 319042900 in words is "three hundred nineteen million, forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 290039 580078 1160156 1450195 2900390 3190429 5800780 6380858 7250975 12761716 14501950 15952145 29003900 31904290 63808580 79760725 159521450 319042900