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1323399168 = 21133713263
BaseRepresentation
bin100111011100001…
…0111100000000000
310102020012122101000
41032320113200000
510202242233133
6335153012000
744536464420
oct11670274000
93366178330
101323399168
1161a02a423
1230b254000
1318123b640
14c7a92480
157b2b3413
hex4ee17800

1323399168 has 384 divisors, whose sum is σ = 4843238400. Its totient is φ = 347701248.

The previous prime is 1323399149. The next prime is 1323399173. The reversal of 1323399168 is 8619933231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (209952) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031805 + ... + 5032067.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 21323399168 is an apocalyptic number.

1323399168 is a gapful number since it is divisible by the number (18) 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 1323399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421619200).

1323399168 is an abundant number, since it is smaller than the sum of its proper divisors (3519839232).

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

1323399168 is a wasteful number, since it uses less digits than its factorization.

1323399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1323399168 is about 36378.5536820803. The cubic root of 1323399168 is about 1097.9021083859.

The spelling of 1323399168 in words is "one billion, three hundred twenty-three million, three hundred ninety-nine thousand, one hundred sixty-eight".