Search a number
-
+
1325440368 = 243371632689
BaseRepresentation
bin100111100000000…
…1001110101110000
310102101001100101000
41033000021311300
510203303042433
6335304442000
744563025430
oct11700116560
93371040330
101325440368
116201a3a6a
1230ba79300
131817a4755
14c80642c0
157b568113
hex4f009d70

1325440368 has 160 divisors (see below), whose sum is σ = 4376307200. Its totient is φ = 376233984.

The previous prime is 1325440349. The next prime is 1325440379. The reversal of 1325440368 is 8630445231.

1325440368 is a `hidden beast` number, since 1 + 3 + 254 + 40 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491568 + ... + 494256.

It is an arithmetic number, because the mean of its divisors is an integer number (27351920).

Almost surely, 21325440368 is an apocalyptic number.

1325440368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325440368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188153600).

1325440368 is an abundant number, since it is smaller than the sum of its proper divisors (3050866832).

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

1325440368 is a wasteful number, since it uses less digits than its factorization.

1325440368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1325440368 is about 36406.5978635741. The cubic root of 1325440368 is about 1098.4662834884.

Adding to 1325440368 its reverse (8630445231), we get a palindrome (9955885599).

The spelling of 1325440368 in words is "one billion, three hundred twenty-five million, four hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 163 168 189 216 252 326 336 378 432 489 504 652 756 978 1008 1141 1304 1467 1512 1956 2282 2608 2689 2934 3024 3423 3912 4401 4564 5378 5868 6846 7824 8067 8802 9128 10269 10756 11736 13692 16134 17604 18256 18823 20538 21512 23472 24201 27384 30807 32268 35208 37646 41076 43024 48402 54768 56469 61614 64536 70416 72603 75292 82152 96804 112938 123228 129072 145206 150584 164304 169407 193608 225876 246456 290412 301168 338814 387216 438307 451752 492912 508221 580824 677628 876614 903504 1016442 1161648 1314921 1355256 1753228 2032884 2629842 2710512 3068149 3506456 3944763 4065768 5259684 6136298 7012912 7889526 8131536 9204447 10519368 11834289 12272596 15779052 18408894 21038736 23668578 24545192 27613341 31558104 36817788 47337156 49090384 55226682 63116208 73635576 82840023 94674312 110453364 147271152 165680046 189348624 220906728 331360092 441813456 662720184 1325440368