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1323421000 = 235311313881
BaseRepresentation
bin100111011100001…
…1100110101001000
310102020020202022121
41032320130311020
510202243433000
6335153301024
744536615156
oct11670346510
93366222277
101323421000
1161a044870
1230b264774
13181248565
14c7a9a3d6
157b2b9b1a
hex4ee1cd48

1323421000 has 128 divisors (see below), whose sum is σ = 3488209920. Its totient is φ = 465600000.

The previous prime is 1323420991. The next prime is 1323421013. The reversal of 1323421000 is 1243231.

It is a happy number.

It is a zygodrome in base 9.

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, 339060 + ... + 342940.

It is an arithmetic number, because the mean of its divisors is an integer number (27251640).

Almost surely, 21323421000 is an apocalyptic number.

1323421000 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 1323421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744104960).

1323421000 is an abundant number, since it is smaller than the sum of its proper divisors (2164788920).

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

1323421000 is a wasteful number, since it uses less digits than its factorization.

1323421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1323421000 is about 36378.8537477475. The cubic root of 1323421000 is about 1097.9081456843.

Adding to 1323421000 its reverse (1243231), we get a palindrome (1324664231).

The spelling of 1323421000 in words is "one billion, three hundred twenty-three million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 3881 5500 6200 6820 7750 7762 8525 11000 13640 15500 15524 17050 19405 31000 31048 34100 38810 42625 42691 68200 77620 85250 85382 97025 120311 155240 170500 170764 194050 213455 240622 341000 341528 388100 426910 481244 485125 601555 776200 853820 962488 970250 1067275 1203110 1323421 1707640 1940500 2134550 2406220 2646842 3007775 3881000 4269100 4812440 5293684 5336375 6015550 6617105 8538200 10587368 10672750 12031100 13234210 15038875 21345500 24062200 26468420 30077750 33085525 42691000 52936840 60155500 66171050 120311000 132342100 165427625 264684200 330855250 661710500 1323421000