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1323905040 = 243351913209
BaseRepresentation
bin100111011101001…
…0011000000010000
310102021011100022000
41032322103000100
510202404430130
6335211514000
744544002313
oct11672230020
93367140260
101323905040
1161a3454a7
1230b458900
13181387983
14c7b8497a
157b363260
hex4ee93010

1323905040 has 160 divisors (see below), whose sum is σ = 4585420800. Its totient is φ = 351083520.

The previous prime is 1323904997. The next prime is 1323905069. The reversal of 1323905040 is 405093231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1323904995 and 1323905013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410956 + ... + 414164.

It is an arithmetic number, because the mean of its divisors is an integer number (28658880).

Almost surely, 21323905040 is an apocalyptic number.

1323905040 is a gapful number since it is divisible by the number (10) 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 1323905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292710400).

1323905040 is an abundant number, since it is smaller than the sum of its proper divisors (3261515760).

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

1323905040 is a wasteful number, since it uses less digits than its factorization.

1323905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1323905040 is about 36385.5059055113. The cubic root of 1323905040 is about 1098.0419823298.

Adding to 1323905040 its reverse (405093231), we get a palindrome (1728998271).

The spelling of 1323905040 in words is "one billion, three hundred twenty-three million, nine hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 191 216 240 270 360 382 432 540 573 720 764 955 1080 1146 1528 1719 1910 2160 2292 2865 3056 3209 3438 3820 4584 5157 5730 6418 6876 7640 8595 9168 9627 10314 11460 12836 13752 15280 16045 17190 19254 20628 22920 25672 25785 27504 28881 32090 34380 38508 41256 45840 48135 51344 51570 57762 64180 68760 77016 82512 86643 96270 103140 115524 128360 137520 144405 154032 173286 192540 206280 231048 256720 288810 346572 385080 412560 433215 462096 577620 612919 693144 770160 866430 1155240 1225838 1386288 1732860 1838757 2310480 2451676 3064595 3465720 3677514 4903352 5516271 6129190 6931440 7355028 9193785 9806704 11032542 12258380 14710056 16548813 18387570 22065084 24516760 27581355 29420112 33097626 36775140 44130168 49033520 55162710 66195252 73550280 82744065 88260336 110325420 132390504 147100560 165488130 220650840 264781008 330976260 441301680 661952520 1323905040