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314424 = 233211397
BaseRepresentation
bin1001100110000111000
3120222022100
41030300320
540030144
610423400
72446455
oct1146070
9528270
10314424
111a5260
12131b60
13b0166
148282c
1563269
hex4cc38

314424 has 48 divisors (see below), whose sum is σ = 931320. Its totient is φ = 95040.

The previous prime is 314423. The next prime is 314441. The reversal of 314424 is 424413.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 314397 and 314406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594 + ... + 990.

2314424 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 314424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465660).

314424 is an abundant number, since it is smaller than the sum of its proper divisors (616896).

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

314424 is a wasteful number, since it uses less digits than its factorization.

314424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 314424 is about 560.7352316379. The cubic root of 314424 is about 67.9994232938. Note that the first 3 decimals are identical.

Adding to 314424 its reverse (424413), we get a palindrome (738837).

The spelling of 314424 in words is "three hundred fourteen thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 397 792 794 1191 1588 2382 3176 3573 4367 4764 7146 8734 9528 13101 14292 17468 26202 28584 34936 39303 52404 78606 104808 157212 314424