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1327404200 = 235217390413
BaseRepresentation
bin100111100011110…
…1001010010101000
310102111202010020112
41033013221102220
510204303413300
6335414513452
744615515043
oct11707512250
93374663215
101327404200
11621315471
12310665888
13182011595
14c8415c5a
157b804e35
hex4f1e94a8

1327404200 has 48 divisors (see below), whose sum is σ = 3267765180. Its totient is φ = 499727360.

The previous prime is 1327404191. The next prime is 1327404209. The reversal of 1327404200 is 24047231.

It is an interprime number because it is at equal distance from previous prime (1327404191) and next prime (1327404209).

It can be written as a sum of positive squares in 6 ways, for example, as 524135236 + 803268964 = 22894^2 + 28342^2 .

It is not an unprimeable number, because it can be changed into a prime (1327404209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191807 + ... + 198606.

Almost surely, 21327404200 is an apocalyptic number.

1327404200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327404200 is an abundant number, since it is smaller than the sum of its proper divisors (1940360980).

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

1327404200 is a wasteful number, since it uses less digits than its factorization.

1327404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390446 (or 390437 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 1327404200 is about 36433.5587062258. The cubic root of 1327404200 is about 1099.0085281047.

The spelling of 1327404200 in words is "one billion, three hundred twenty-seven million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 390413 780826 1561652 1952065 3123304 3904130 6637021 7808260 9760325 13274042 15616520 19520650 26548084 33185105 39041300 53096168 66370210 78082600 132740420 165925525 265480840 331851050 663702100 1327404200