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1332020340 = 2232576011759
BaseRepresentation
bin100111101100101…
…0000010001110100
310102211102122101200
41033121100101310
510211444122330
6340101452500
745002662140
oct11731202164
93384378350
101332020340
11623988662
12312111130
13182c69721
14c8c98220
157be17a60
hex4f650474

1332020340 has 144 divisors (see below), whose sum is σ = 4627983360. Its totient is φ = 303782400.

The previous prime is 1332020309. The next prime is 1332020353. The reversal of 1332020340 is 430202331.

1332020340 is a `hidden beast` number, since 1 + 3 + 320 + 2 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756381 + ... + 758139.

Almost surely, 21332020340 is an apocalyptic number.

1332020340 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 1332020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313991680).

1332020340 is an abundant number, since it is smaller than the sum of its proper divisors (3295963020).

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

1332020340 is a wasteful number, since it uses less digits than its factorization.

1332020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1332020340 is about 36496.8538370090. The cubic root of 1332020340 is about 1100.2810136037.

Adding to 1332020340 its reverse (430202331), we get a palindrome (1762222671).

The spelling of 1332020340 in words is "one billion, three hundred thirty-two million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 601 630 1202 1260 1759 1803 2404 3005 3518 3606 4207 5277 5409 6010 7036 7212 8414 8795 9015 10554 10818 12020 12313 12621 15831 16828 17590 18030 21035 21108 21636 24626 25242 26385 27045 31662 35180 36060 36939 37863 42070 49252 50484 52770 54090 61565 63105 63324 73878 75726 79155 84140 105540 108180 110817 123130 126210 147756 151452 158310 184695 189315 221634 246260 252420 316620 369390 378630 443268 554085 738780 757260 1057159 1108170 2114318 2216340 3171477 4228636 5285795 6342954 7400113 9514431 10571590 12685908 14800226 15857385 19028862 21143180 22200339 29600452 31714770 37000565 38057724 44400678 47572155 63429540 66601017 74001130 88801356 95144310 111001695 133202034 148002260 190288620 222003390 266404068 333005085 444006780 666010170 1332020340