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314432 = 26173
BaseRepresentation
bin1001100110001000000
3120222022122
41030301000
540030212
610423412
72446466
oct1146100
9528278
10314432
111a5268
12131b68
13b0171
1482836
1563272
hex4cc40

314432 has 28 divisors (see below), whose sum is σ = 662940. Its totient is φ = 147968.

The previous prime is 314423. The next prime is 314441. The reversal of 314432 is 234413.

The cubic root of 314432 is 68.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (314423) and next prime (314441).

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 141376 = 416^2 + 376^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 314432.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314432.

It is an unprimeable number.

314432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18488 + ... + 18504.

314432 is a Friedman number, since it can be written as (34+34)^(2+1), using all its digits and the basic arithmetic operations.

2314432 is an apocalyptic number.

314432 is a gapful number since it is divisible by the number (32) 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 314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331470).

314432 is an abundant number, since it is smaller than the sum of its proper divisors (348508).

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

314432 is an frugal number, since it uses more digits than its factorization.

314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 19 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 314432 is about 560.7423650840.

Multiplying 314432 by its sum of digits (17), we get a square (5345344 = 23122).

314432 divided by its sum of digits (17) gives a square (18496 = 1362).

Adding to 314432 its reverse (234413), we get a palindrome (548845).

The spelling of 314432 in words is "three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 4913 9248 9826 18496 19652 39304 78608 157216 314432