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3243738960 = 243557112197
BaseRepresentation
bin1100000101010111…
…1000011101010000
322101001200000100000
43001111320131100
523120344121320
61253512330000
7143245216620
oct30125703520
98331600300
103243738960
111415008100
127663a3900
133c9044187
1422ab32880
1513eb8cc90
hexc1578750

3243738960 has 720 divisors, whose sum is σ = 14263337088. Its totient is φ = 670602240.

The previous prime is 3243738947. The next prime is 3243738961. The reversal of 3243738960 is 698373423.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243738961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16465582 + ... + 16465778.

Almost surely, 23243738960 is an apocalyptic number.

3243738960 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 3243738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131668544).

3243738960 is an abundant number, since it is smaller than the sum of its proper divisors (11019598128).

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

3243738960 is a wasteful number, since it uses less digits than its factorization.

3243738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3243738960 is about 56953.8318289472. The cubic root of 3243738960 is about 1480.2962275324.

It can be divided in two parts, 324373 and 8960, that added together give a palindrome (333333).

The spelling of 3243738960 in words is "three billion, two hundred forty-three million, seven hundred thirty-eight thousand, nine hundred sixty".