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3243011040 = 2533523127257
BaseRepresentation
bin1100000101001100…
…0110101111100000
322101000022000211000
43001103012233200
523120202323130
61253444552000
7143236065453
oct30123065740
98330260730
103243011040
111414660215
127660b2600
133c8b4aa59
1422a9c349a
1513ea97260
hexc14c6be0

3243011040 has 384 divisors, whose sum is σ = 11983749120. Its totient is φ = 817496064.

The previous prime is 3243011003. The next prime is 3243011041. The reversal of 3243011040 is 401103423.

3243011040 is a `hidden beast` number, since 324 + 301 + 1 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243011041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12618592 + ... + 12618848.

It is an arithmetic number, because the mean of its divisors is an integer number (31207680).

Almost surely, 23243011040 is an apocalyptic number.

3243011040 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 3243011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991874560).

3243011040 is an abundant number, since it is smaller than the sum of its proper divisors (8740738080).

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

3243011040 is a wasteful number, since it uses less digits than its factorization.

3243011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3243011040 is about 56947.4410311824. The cubic root of 3243011040 is about 1480.1854892911.

Adding to 3243011040 its reverse (401103423), we get a palindrome (3644114463).

The spelling of 3243011040 in words is "three billion, two hundred forty-three million, eleven thousand, forty".