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324080640 = 21032513541
BaseRepresentation
bin10011010100010…
…001010000000000
3211120211000001200
4103110101100000
51130431040030
652054101200
711013432342
oct2324212000
9746730050
10324080640
11156a31644
129064a800
13521ac6c0
1431081292
151d6b8d60
hex13511400

324080640 has 264 divisors, whose sum is σ = 1211545608. Its totient is φ = 79626240.

The previous prime is 324080633. The next prime is 324080657. The reversal of 324080640 is 46080423.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 322274304 = 1344^2 + 17952^2 .

It is a super-2 number, since 2×3240806402 = 210056522445619200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598770 + ... + 599310.

Almost surely, 2324080640 is an apocalyptic number.

324080640 is a gapful number since it is divisible by the number (30) 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 324080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605772804).

324080640 is an abundant number, since it is smaller than the sum of its proper divisors (887464968).

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

324080640 is a wasteful number, since it uses less digits than its factorization.

324080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 324080640 is about 18002.2398606396. The cubic root of 324080640 is about 686.8855221365.

The spelling of 324080640 in words is "three hundred twenty-four million, eighty thousand, six hundred forty".