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319428 = 223219467
BaseRepresentation
bin1001101111111000100
3121020011200
41031333010
540210203
610502500
72500164
oct1157704
9536150
10319428
111a8a9a
12134a30
13b2515
14845a4
15649a3
hex4dfc4

319428 has 36 divisors (see below), whose sum is σ = 851760. Its totient is φ = 100656.

The previous prime is 319427. The next prime is 319433. The reversal of 319428 is 824913.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (319427) by changing a digit.

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, 451 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (23660).

2319428 is an apocalyptic number.

319428 is a gapful number since it is divisible by the number (38) 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 319428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425880).

319428 is an abundant number, since it is smaller than the sum of its proper divisors (532332).

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

319428 is a wasteful number, since it uses less digits than its factorization.

With its successor (319429) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (491).

319428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 319428 is about 565.1796174669. The cubic root of 319428 is about 68.3582591333.

It can be divided in two parts, 319 and 428, that added together give a palindrome (747).

The spelling of 319428 in words is "three hundred nineteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 467 684 934 1401 1868 2802 4203 5604 8406 8873 16812 17746 26619 35492 53238 79857 106476 159714 319428