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1324000224 = 25326916653
BaseRepresentation
bin100111011101010…
…1010001111100000
310102021100011212100
41032322222033200
510202421001344
6335213530400
744544546651
oct11672521740
93367304770
101324000224
1161a3aaa68
1230b4a3a00
131813bc0b1
14c7bab528
157b381569
hex4eeaa3e0

1324000224 has 72 divisors (see below), whose sum is σ = 3771141192. Its totient is φ = 440628480.

The previous prime is 1324000211. The next prime is 1324000231. The reversal of 1324000224 is 4220004231.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1324000197 and 1324000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195682 + ... + 202334.

It is an arithmetic number, because the mean of its divisors is an integer number (52376961).

Almost surely, 21324000224 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 1324000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885570596).

1324000224 is an abundant number, since it is smaller than the sum of its proper divisors (2447140968).

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

1324000224 is a wasteful number, since it uses less digits than its factorization.

1324000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 7349 counting only the distinct ones).

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

The square root of 1324000224 is about 36386.8138753587. The cubic root of 1324000224 is about 1098.0682967859.

Adding to 1324000224 its reverse (4220004231), we get a palindrome (5544004455).

The spelling of 1324000224 in words is "one billion, three hundred twenty-four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 691 1382 2073 2764 4146 5528 6219 6653 8292 11056 12438 13306 16584 19959 22112 24876 26612 33168 39918 49752 53224 59877 66336 79836 99504 106448 119754 159672 199008 212896 239508 319344 479016 638688 958032 1916064 4597223 9194446 13791669 18388892 27583338 36777784 41375007 55166676 73555568 82750014 110333352 147111136 165500028 220666704 331000056 441333408 662000112 1324000224