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324030724992 = 273213231531013
BaseRepresentation
bin1001011011100011011…
…11000111101110000000
31010222101020222100012200
410231301233013232000
520302103331144432
6404505130553200
732260532501142
oct4556157075600
91128336870180
10324030724992
111154699956a7
1252971298800
132472c5c4c00
141197c898c92
15866721da7c
hex4b71bc7b80

324030724992 has 576 divisors, whose sum is σ = 1062958515840. Its totient is φ = 94571642880.

The previous prime is 324030724981. The next prime is 324030724999. The reversal of 324030724992 is 299427030423.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3240307249922 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324030724999) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 319871878 + ... + 319872890.

It is an arithmetic number, because the mean of its divisors is an integer number (1845414090).

Almost surely, 2324030724992 is an apocalyptic number.

324030724992 is a gapful number since it is divisible by the number (32) 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 324030724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531479257920).

324030724992 is an abundant number, since it is smaller than the sum of its proper divisors (738927790848).

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

324030724992 is a wasteful number, since it uses less digits than its factorization.

324030724992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 324030724992 in words is "three hundred twenty-four billion, thirty million, seven hundred twenty-four thousand, nine hundred ninety-two".