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431226 = 23223957
BaseRepresentation
bin1101001010001111010
3210220112100
41221101322
5102244401
613124230
73444135
oct1512172
9726470
10431226
11274a94
12189676
13121383
14b321c
1587b86
hex6947a

431226 has 12 divisors (see below), whose sum is σ = 934362. Its totient is φ = 143736.

The previous prime is 431219. The next prime is 431237. The reversal of 431226 is 622134.

It is a happy number.

431226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 308025 + 123201 = 555^2 + 351^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23957 = 431226 / (4 + 3 + 1 + 2 + 2 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 431199 and 431208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431226.

It is an unprimeable number.

431226 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 5 ways as a sum of consecutive naturals, for example, 11961 + ... + 11996.

2431226 is an apocalyptic number.

431226 is an abundant number, since it is smaller than the sum of its proper divisors (503136).

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

431226 is a wasteful number, since it uses less digits than its factorization.

431226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23965 (or 23962 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 431226 is about 656.6780032862. The cubic root of 431226 is about 75.5500888330.

The spelling of 431226 in words is "four hundred thirty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 23957 47914 71871 143742 215613 431226