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3240442240 = 275737113173
BaseRepresentation
bin1100000100100101…
…0011100110000000
322100211110112002021
43001021103212000
523114023122430
61253313531224
7143205206320
oct30111234600
98324415067
103240442240
111413166242
12765273b14
133c845b759
1422a515280
1513e73b07a
hexc1253980

3240442240 has 256 divisors, whose sum is σ = 9226120320. Its totient is φ = 1065222144.

The previous prime is 3240442189. The next prime is 3240442273. The reversal of 3240442240 is 422440423.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18730794 + ... + 18730966.

Almost surely, 23240442240 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 3240442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613060160).

3240442240 is an abundant number, since it is smaller than the sum of its proper divisors (5985678080).

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

3240442240 is a wasteful number, since it uses less digits than its factorization.

3240442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 3240442240 is about 56924.8824329045. The cubic root of 3240442240 is about 1479.7945660803.

Adding to 3240442240 its reverse (422440423), we get a palindrome (3662882663).

The spelling of 3240442240 in words is "three billion, two hundred forty million, four hundred forty-two thousand, two hundred forty".