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1304226 = 232711941
BaseRepresentation
bin100111110011010100010
32110021001200
410332122202
5313213401
643542030
714041260
oct4763242
92407050
101304226
11810980
1252a916
13368841
1425d430
151ab686
hex13e6a2

1304226 has 48 divisors (see below), whose sum is σ = 3526848. Its totient is φ = 338400.

The previous prime is 1304221. The next prime is 1304227. The reversal of 1304226 is 6224031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1304199 and 1304208.

It is not an unprimeable number, because it can be changed into a prime (1304221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (73476).

21304226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763424).

1304226 is an abundant number, since it is smaller than the sum of its proper divisors (2222622).

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

1304226 is a wasteful number, since it uses less digits than its factorization.

1304226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 964 counting only the distinct ones).

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

The square root of 1304226 is about 1142.0271450364. The cubic root of 1304226 is about 109.2574226028.

Adding to 1304226 its reverse (6224031), we get a palindrome (7528257).

It can be divided in two parts, 130 and 4226, that added together give a square (4356 = 662).

The spelling of 1304226 in words is "one million, three hundred four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 941 1386 1882 2823 5646 6587 8469 10351 13174 16938 19761 20702 31053 39522 59283 62106 72457 93159 118566 144914 186318 217371 434742 652113 1304226