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1330320000 = 2735423241
BaseRepresentation
bin100111101001011…
…0001001010000000
310102201020020222010
41033102301022000
510211030220000
6340001212520
744652350652
oct11722611200
93381206863
101330320000
11622a27119
12311631140
131827c27c9
14c89746d2
157bbcdd50
hex4f4b1280

1330320000 has 320 divisors, whose sum is σ = 4626768960. Its totient is φ = 337920000.

The previous prime is 1330319999. The next prime is 1330320029. The reversal of 1330320000 is 230331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5519880 + ... + 5520120.

It is an arithmetic number, because the mean of its divisors is an integer number (14458653).

Almost surely, 21330320000 is an apocalyptic number.

1330320000 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 1330320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313384480).

1330320000 is an abundant number, since it is smaller than the sum of its proper divisors (3296448960).

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

1330320000 is an equidigital number, since it uses as much as digits as its factorization.

1330320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 1330320000 is about 36473.5520617337. The cubic root of 1330320000 is about 1099.8126402657.

Adding to 1330320000 its reverse (230331), we get a palindrome (1330550331).

The spelling of 1330320000 in words is "one billion, three hundred thirty million, three hundred twenty thousand".