Search a number
-
+
403456 = 211197
BaseRepresentation
bin1100010100000000000
3202111102211
41202200000
5100402311
612351504
73300154
oct1424000
9674384
10403456
11256139
12175594
13111841
14a7064
157e821
hex62800

403456 has 24 divisors (see below), whose sum is σ = 810810. Its totient is φ = 200704.

The previous prime is 403439. The next prime is 403483. The reversal of 403456 is 654304.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 173056 = 480^2 + 416^2 .

It is an unprimeable number.

403456 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 as a sum of consecutive naturals, namely, 1950 + ... + 2146.

2403456 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 403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405405).

403456 is an abundant number, since it is smaller than the sum of its proper divisors (407354).

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

403456 is an equidigital number, since it uses as much as digits as its factorization.

403456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 403456 is about 635.1818637209. The cubic root of 403456 is about 73.8922219672.

The spelling of 403456 in words is "four hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1024 1576 2048 3152 6304 12608 25216 50432 100864 201728 403456