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3243000240 = 24365173271
BaseRepresentation
bin1100000101001100…
…0100000110110000
322101000021111000000
43001103010012300
523120202001430
61253444430000
7143236022124
oct30123040660
98330244000
103243000240
111414653097
127660a8300
133c8b45b6c
1422a9bd584
1513ea93e60
hexc14c41b0

3243000240 has 280 divisors, whose sum is σ = 11973439008. Its totient is φ = 813680640.

The previous prime is 3243000209. The next prime is 3243000289. The reversal of 3243000240 is 420003423.

3243000240 is a `hidden beast` number, since 324 + 300 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 55 ways as a sum of consecutive naturals, for example, 989805 + ... + 993075.

Almost surely, 23243000240 is an apocalyptic number.

3243000240 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 3243000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986719504).

3243000240 is an abundant number, since it is smaller than the sum of its proper divisors (8730438768).

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

3243000240 is a wasteful number, since it uses less digits than its factorization.

3243000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3243000240 is about 56947.3462068251. The cubic root of 3243000240 is about 1480.1838461658.

Adding to 3243000240 its reverse (420003423), we get a palindrome (3663003663).

The spelling of 3243000240 in words is "three billion, two hundred forty-three million, two hundred forty", and thus it is an aban number.