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3242320000 = 275440529
BaseRepresentation
bin1100000101000001…
…1110000010000000
322100221222220212221
43001100132002000
523120013220000
61253422100424
7143230156663
oct30120360200
98327886787
103242320000
111414229007
12765a1a714
133c896835a
1422a8836da
1513e9ac61a
hexc141e080

3242320000 has 80 divisors (see below), whose sum is σ = 8071752150. Its totient is φ = 1296896000.

The previous prime is 3242319991. The next prime is 3242320049. The reversal of 3242320000 is 232423.

It can be written as a sum of positive squares in 5 ways, for example, as 462078016 + 2780241984 = 21496^2 + 52728^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 59736 + ... + 100264.

Almost surely, 23242320000 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 3242320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035876075).

3242320000 is an abundant number, since it is smaller than the sum of its proper divisors (4829432150).

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

3242320000 is an frugal number, since it uses more digits than its factorization.

3242320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40563 (or 40536 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3242320000 is about 56941.3733589207. The cubic root of 3242320000 is about 1480.0803462590.

Adding to 3242320000 its reverse (232423), we get a palindrome (3242552423).

It can be divided in two parts, 32 and 42320000, that multiplied together give a square (1354240000 = 368002).

The spelling of 3242320000 in words is "three billion, two hundred forty-two million, three hundred twenty 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 5000 8000 10000 16000 20000 40000 40529 80000 81058 162116 202645 324232 405290 648464 810580 1013225 1296928 1621160 2026450 2593856 3242320 4052900 5066125 5187712 6484640 8105800 10132250 12969280 16211600 20264500 25330625 25938560 32423200 40529000 50661250 64846400 81058000 101322500 129692800 162116000 202645000 324232000 405290000 648464000 810580000 1621160000 3242320000