Search a number
-
+
1324003104 = 25334913121
BaseRepresentation
bin100111011101010…
…1010111100100000
310102021100022211000
41032322222330200
510202421044404
6335213552000
744544561234
oct11672527440
93367308730
101324003104
1161a402146
1230b4a5600
131813c04b8
14c7bac5c4
157b382339
hex4eeaaf20

1324003104 has 96 divisors (see below), whose sum is σ = 3870780480. Its totient is φ = 440294400.

The previous prime is 1324003099. The next prime is 1324003111. The reversal of 1324003104 is 4013004231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422664 + ... + 425784.

It is an arithmetic number, because the mean of its divisors is an integer number (40320630).

Almost surely, 21324003104 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 1324003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935390240).

1324003104 is an abundant number, since it is smaller than the sum of its proper divisors (2546777376).

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

1324003104 is a wasteful number, since it uses less digits than its factorization.

1324003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3617 counting only the distinct ones).

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

The square root of 1324003104 is about 36386.8534501130. The cubic root of 1324003104 is about 1098.0690929677.

Adding to 1324003104 its reverse (4013004231), we get a palindrome (5337007335).

The spelling of 1324003104 in words is "one billion, three hundred twenty-four million, three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 491 864 982 1473 1964 2946 3121 3928 4419 5892 6242 7856 8838 9363 11784 12484 13257 15712 17676 18726 23568 24968 26514 28089 35352 37452 47136 49936 53028 56178 70704 74904 84267 99872 106056 112356 141408 149808 168534 212112 224712 299616 337068 424224 449424 674136 898848 1348272 1532411 2696544 3064822 4597233 6129644 9194466 12259288 13791699 18388932 24518576 27583398 36777864 41375097 49037152 55166796 73555728 82750194 110333592 147111456 165500388 220667184 331000776 441334368 662001552 1324003104