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3241144224 = 253211253973
BaseRepresentation
bin1100000100101111…
…1110111110100000
322100212210012000200
43001023332332200
523114213103344
61253340545200
7143214162033
oct30113767640
98325705020
103241144224
1114135a569a
12765552200
133c8646126
1422a65901a
1513e829069
hexc12fefa0

3241144224 has 36 divisors (see below), whose sum is σ = 9217004706. Its totient is φ = 1080381312.

The previous prime is 3241144223. The next prime is 3241144253. The reversal of 3241144224 is 4224411423.

3241144224 is a `hidden beast` number, since 324 + 114 + 4 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2768864400 + 472279824 = 52620^2 + 21732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3241144223) 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 5 ways as a sum of consecutive naturals, for example, 5626699 + ... + 5627274.

Almost surely, 23241144224 is an apocalyptic number.

It is an amenable number.

3241144224 is an abundant number, since it is smaller than the sum of its proper divisors (5975860482).

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

3241144224 is a wasteful number, since it uses less digits than its factorization.

3241144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11253989 (or 11253978 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3241144224 is about 56931.0479791124. The cubic root of 3241144224 is about 1479.9014153958.

Adding to 3241144224 its reverse (4224411423), we get a palindrome (7465555647).

The spelling of 3241144224 in words is "three billion, two hundred forty-one million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11253973 22507946 33761919 45015892 67523838 90031784 101285757 135047676 180063568 202571514 270095352 360127136 405143028 540190704 810286056 1080381408 1620572112 3241144224