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1330323312 = 243236611823
BaseRepresentation
bin100111101001011…
…0001111101110000
310102201020102111210
41033102301331300
510211030321222
6340001240120
744652363423
oct11722617560
93381212453
101330323312
11622a2965a
12311633040
131827c4176
14c89759ba
157bbced0c
hex4f4b1f70

1330323312 has 80 divisors (see below), whose sum is σ = 3593484288. Its totient is φ = 423287040.

The previous prime is 1330323301. The next prime is 1330323377. The reversal of 1330323312 is 2133230331.

It is a super-2 number, since 2×13303233122 = 3539520228901298688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728833 + ... + 730655.

Almost surely, 21330323312 is an apocalyptic number.

1330323312 is a gapful number since it is divisible by the number (12) 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 1330323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796742144).

1330323312 is an abundant number, since it is smaller than the sum of its proper divisors (2263160976).

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

1330323312 is a wasteful number, since it uses less digits than its factorization.

1330323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 1330323312 is about 36473.5974644674. The cubic root of 1330323312 is about 1099.8135529725.

Adding to 1330323312 its reverse (2133230331), we get a palindrome (3463553643).

The spelling of 1330323312 in words is "one billion, three hundred thirty million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 661 1104 1322 1823 1983 2644 3646 3966 5288 5469 7292 7932 10576 10938 14584 15203 15864 21876 29168 30406 31728 41929 43752 45609 60812 83858 87504 91218 121624 125787 167716 182436 243248 251574 335432 364872 503148 670864 729744 1006296 1205003 2012592 2410006 3615009 4820012 7230018 9640024 14460036 19280048 27715069 28920072 55430138 57840144 83145207 110860276 166290414 221720552 332580828 443441104 665161656 1330323312