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319430850 = 235217192347
BaseRepresentation
bin10011000010100…
…010000011000010
3211021001202202020
4103002202003002
51123233241400
651410302310
710626055164
oct2302420302
9737052666
10319430850
11154346142
128ab87996
135124214b
14305d0934
151d09b2a0
hex130a20c2

319430850 has 144 divisors (see below), whose sum is σ = 887809248. Its totient is φ = 75732480.

The previous prime is 319430843. The next prime is 319430863. The reversal of 319430850 is 58034913.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 920377 + ... + 920723.

It is an arithmetic number, because the mean of its divisors is an integer number (6165342).

Almost surely, 2319430850 is an apocalyptic number.

319430850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 319430850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443904624).

319430850 is an abundant number, since it is smaller than the sum of its proper divisors (568378398).

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

319430850 is a wasteful number, since it uses less digits than its factorization.

319430850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 319430850 is about 17872.6285140155. The cubic root of 319430850 is about 683.5846243473.

The spelling of 319430850 in words is "three hundred nineteen million, four hundred thirty thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 150 170 190 255 285 323 347 361 425 475 510 570 646 694 722 850 950 969 1041 1083 1275 1425 1615 1735 1805 1938 2082 2166 2550 2850 3230 3470 3610 4845 5205 5415 5899 6137 6593 8075 8675 9025 9690 10410 10830 11798 12274 13186 16150 17350 17697 18050 18411 19779 24225 26025 27075 29495 30685 32965 35394 36822 39558 48450 52050 54150 58990 61370 65930 88485 92055 98895 112081 125267 147475 153425 164825 176970 184110 197790 224162 250534 294950 306850 329650 336243 375801 442425 460275 494475 560405 626335 672486 751602 884850 920550 988950 1120810 1252670 1681215 1879005 2129539 2802025 3131675 3362430 3758010 4259078 5604050 6263350 6388617 8406075 9395025 10647695 12777234 16812150 18790050 21295390 31943085 53238475 63886170 106476950 159715425 319430850