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1332443320 = 235132533719
BaseRepresentation
bin100111101101011…
…0111100010111000
310102212020010121121
41033122313202320
510212101141240
6340114515024
745006403255
oct11732674270
93385203547
101332443320
1162414742a
12312295a74
13183087100
14c8d6842c
157be9d04a
hex4f6b78b8

1332443320 has 96 divisors (see below), whose sum is σ = 3308493600. Its totient is φ = 482566656.

The previous prime is 1332443311. The next prime is 1332443327. The reversal of 1332443320 is 233442331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332443327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356421 + ... + 360139.

It is an arithmetic number, because the mean of its divisors is an integer number (34463475).

Almost surely, 21332443320 is an apocalyptic number.

1332443320 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 1332443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654246800).

1332443320 is an abundant number, since it is smaller than the sum of its proper divisors (1976050280).

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

1332443320 is a wasteful number, since it uses less digits than its factorization.

1332443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 1332443320 is about 36502.6481231157. The cubic root of 1332443320 is about 1100.3974651812.

Adding to 1332443320 its reverse (233442331), we get a palindrome (1565885651).

It can be divided in two parts, 13324 and 43320, that added together give a square (56644 = 2382).

The spelling of 1332443320 in words is "one billion, three hundred thirty-two million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 169 212 260 265 338 424 520 530 676 689 845 1060 1352 1378 1690 2120 2756 3380 3445 3719 5512 6760 6890 7438 8957 13780 14876 17914 18595 27560 29752 35828 37190 44785 48347 71656 74380 89570 96694 148760 179140 193388 197107 241735 358280 386776 394214 483470 628511 788428 966940 985535 1257022 1576856 1933880 1971070 2514044 2562391 3142555 3942140 5028088 5124782 6285110 7884280 10249564 12570220 12811955 20499128 25140440 25623910 33311083 51247820 66622166 102495640 133244332 166555415 266488664 333110830 666221660 1332443320