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1228344 = 2331331127
BaseRepresentation
bin100101011111000111000
32022101222020
410223320320
5303301334
642154440
713304115
oct4537070
92271866
101228344
11769967
124b2a20
13340140
1423d90c
15193e49
hex12be38

1228344 has 64 divisors (see below), whose sum is σ = 3440640. Its totient is φ = 362880.

The previous prime is 1228333. The next prime is 1228351. The reversal of 1228344 is 4438221.

1228344 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9609 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (53760).

21228344 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 1228344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720320).

1228344 is an abundant number, since it is smaller than the sum of its proper divisors (2212296).

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

1228344 is a wasteful number, since it uses less digits than its factorization.

1228344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1228344 is about 1108.3068167254. The cubic root of 1228344 is about 107.0960211801.

The spelling of 1228344 in words is "one million, two hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 127 156 186 248 254 312 372 381 403 508 744 762 806 1016 1209 1524 1612 1651 2418 3048 3224 3302 3937 4836 4953 6604 7874 9672 9906 11811 13208 15748 19812 23622 31496 39624 47244 51181 94488 102362 153543 204724 307086 409448 614172 1228344