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332240000 = 27544153
BaseRepresentation
bin10011110011011…
…001010010000000
3212011011112121012
4103303121102000
51140023140000
652545020052
711142664511
oct2363312200
9764145535
10332240000
111605a4914
1293324628
1353aa8521
14321a6a08
151e27b735
hex13cd9480

332240000 has 80 divisors (see below), whose sum is σ = 827289870. Its totient is φ = 132864000.

The previous prime is 332239939. The next prime is 332240011. The reversal of 332240000 is 42233.

It can be written as a sum of positive squares in 5 ways, for example, as 17106496 + 315133504 = 4136^2 + 17752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3322400002 = 220766835200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77924 + ... + 82076.

Almost surely, 2332240000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413644935).

332240000 is an abundant number, since it is smaller than the sum of its proper divisors (495049870).

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

332240000 is an frugal number, since it uses more digits than its factorization.

332240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 332240000 is about 18227.4518241031. The cubic root of 332240000 is about 692.6023690151.

Adding to 332240000 its reverse (42233), we get a palindrome (332282233).

The spelling of 332240000 in words is "three hundred thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 4153 5000 8000 8306 10000 16000 16612 20000 20765 33224 40000 41530 66448 80000 83060 103825 132896 166120 207650 265792 332240 415300 519125 531584 664480 830600 1038250 1328960 1661200 2076500 2595625 2657920 3322400 4153000 5191250 6644800 8306000 10382500 13289600 16612000 20765000 33224000 41530000 66448000 83060000 166120000 332240000