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1326840768 = 263211613433
BaseRepresentation
bin100111100010101…
…1111101111000000
310102110200111100200
41033011133233000
510204132401033
6335354445200
744610650301
oct11705375700
93373614320
101326840768
11620a70120
12310433800
13181b74ca6
14c830a7a8
157b743013
hex4f15fbc0

1326840768 has 168 divisors, whose sum is σ = 4218133296. Its totient is φ = 395366400.

The previous prime is 1326840761. The next prime is 1326840797. The reversal of 1326840768 is 8670486231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326840761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 384780 + ... + 388212.

Almost surely, 21326840768 is an apocalyptic number.

1326840768 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 1326840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109066648).

1326840768 is an abundant number, since it is smaller than the sum of its proper divisors (2891292528).

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

1326840768 is a wasteful number, since it uses less digits than its factorization.

1326840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1326840768 is about 36425.8255637398. The cubic root of 1326840768 is about 1098.8530104900.

The spelling of 1326840768 in words is "one billion, three hundred twenty-six million, eight hundred forty thousand, seven hundred sixty-eight".