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319320 = 23325887
BaseRepresentation
bin1001101111101011000
3121020000200
41031331120
540204240
610502200
72466651
oct1157530
9536020
10319320
111a8a01
12134960
13b2461
1484528
1564930
hex4df58

319320 has 48 divisors (see below), whose sum is σ = 1038960. Its totient is φ = 85056.

The previous prime is 319313. The next prime is 319321. The reversal of 319320 is 23913.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 319293 and 319302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319321) by changing a digit.

319320 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 84 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (21645).

2319320 is an apocalyptic number.

319320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519480).

319320 is an abundant number, since it is smaller than the sum of its proper divisors (719640).

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

319320 is a wasteful number, since it uses less digits than its factorization.

319320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 319320 is about 565.0840645426. The cubic root of 319320 is about 68.3505541897.

The spelling of 319320 in words is "three hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 887 1774 2661 3548 4435 5322 7096 7983 8870 10644 13305 15966 17740 21288 26610 31932 35480 39915 53220 63864 79830 106440 159660 319320