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314500 = 22531737
BaseRepresentation
bin1001100110010000100
3120222102011
41030302010
540031000
610424004
72446624
oct1146204
9528364
10314500
111a531a
12132004
13b01c4
1482884
15632ba
hex4cc84

314500 has 48 divisors (see below), whose sum is σ = 746928. Its totient is φ = 115200.

The previous prime is 314497. The next prime is 314513. The reversal of 314500 is 5413.

It can be written as a sum of positive squares in 8 ways, for example, as 16384 + 298116 = 128^2 + 546^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8482 + ... + 8518.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2314500 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 314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

314500 is an abundant number, since it is smaller than the sum of its proper divisors (432428).

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

314500 is a wasteful number, since it uses less digits than its factorization.

314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 314500 is about 560.8029957124. The cubic root of 314500 is about 68.0049016075.

Adding to 314500 its reverse (5413), we get a palindrome (319913).

The spelling of 314500 in words is "three hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 125 148 170 185 250 340 370 425 500 629 740 850 925 1258 1700 1850 2125 2516 3145 3700 4250 4625 6290 8500 9250 12580 15725 18500 31450 62900 78625 157250 314500