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1328965380 = 22345820349
BaseRepresentation
bin100111100110110…
…0110011100000100
310102121200102210000
41033031212130010
510210203343010
6335512201300
744635006431
oct11715463404
93377612700
101328965380
116221913a6
12311099230
1318243a062
14c8700b88
157ba127c0
hex4f366704

1328965380 has 60 divisors (see below), whose sum is σ = 4169018700. Its totient is φ = 354390336.

The previous prime is 1328965333. The next prime is 1328965399. The reversal of 1328965380 is 835698231.

It is a happy number.

1328965380 is a `hidden beast` number, since 1 + 3 + 28 + 96 + 538 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 418857156 + 910108224 = 20466^2 + 30168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×13289653802 = 3532297962477088800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 408555 + ... + 411794.

It is an arithmetic number, because the mean of its divisors is an integer number (69483645).

Almost surely, 21328965380 is an apocalyptic number.

1328965380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328965380 is an abundant number, since it is smaller than the sum of its proper divisors (2840053320).

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

1328965380 is a wasteful number, since it uses less digits than its factorization.

1328965380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820370 (or 820359 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1328965380 is about 36454.9774379302. The cubic root of 1328965380 is about 1099.4392127782.

The spelling of 1328965380 in words is "one billion, three hundred twenty-eight million, nine hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 820349 1640698 2461047 3281396 4101745 4922094 7383141 8203490 9844188 12305235 14766282 16406980 22149423 24610470 29532564 36915705 44298846 49220940 66448269 73831410 88597692 110747115 132896538 147662820 221494230 265793076 332241345 442988460 664482690 1328965380