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319000 = 23531129
BaseRepresentation
bin1001101111000011000
3121012120211
41031320120
540202000
610500504
72466013
oct1157030
9535524
10319000
111a8740
12134734
13b2276
148437a
15647ba
hex4de18

319000 has 64 divisors (see below), whose sum is σ = 842400. Its totient is φ = 112000.

The previous prime is 318979. The next prime is 319001. The reversal of 319000 is 913.

It is a happy number.

It is a super-2 number, since 2×3190002 = 203522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10986 + ... + 11014.

2319000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

319000 is an abundant number, since it is smaller than the sum of its proper divisors (523400).

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

319000 is a wasteful number, since it uses less digits than its factorization.

319000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 319000 is about 564.8008498577. The cubic root of 319000 is about 68.3277145225.

Adding to 319000 its reverse (913), we get a palindrome (319913).

The spelling of 319000 in words is "three hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 159500 319000