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1342224 = 243313239
BaseRepresentation
bin101000111101100010000
32112012012000
411013230100
5320422344
644434000
714260122
oct5075420
92465160
101342224
11837484
12548900
1337cc20
1426d212
151b7a69
hex147b10

1342224 has 80 divisors (see below), whose sum is σ = 4166400. Its totient is φ = 411264.

The previous prime is 1342223. The next prime is 1342241. The reversal of 1342224 is 4222431.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1342197 and 1342206.

It is not an unprimeable number, because it can be changed into a prime (1342223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5497 + ... + 5735.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

21342224 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 1342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200).

1342224 is an abundant number, since it is smaller than the sum of its proper divisors (2824176).

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

1342224 is a wasteful number, since it uses less digits than its factorization.

1342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 1342224 is about 1158.5439137124. The cubic root of 1342224 is about 110.3083360117.

Adding to 1342224 its reverse (4222431), we get a palindrome (5564655).

It can be divided in two parts, 1 and 342224, that added together give a square (342225 = 5852).

The spelling of 1342224 in words is "one million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 239 312 351 432 468 478 624 702 717 936 956 1404 1434 1872 1912 2151 2808 2868 3107 3824 4302 5616 5736 6214 6453 8604 9321 11472 12428 12906 17208 18642 24856 25812 27963 34416 37284 49712 51624 55926 74568 83889 103248 111852 149136 167778 223704 335556 447408 671112 1342224