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4350540000 = 25354312339
BaseRepresentation
bin1000000110100111…
…11111100011100000
3102020012022022221010
410003103333203200
532402214240000
61555411100520
7212544660042
oct40323774340
912205268833
104350540000
111932848104
12a14ba1740
13544436631
142d3b21a92
151a6e18d50
hex1034ff8e0

4350540000 has 240 divisors, whose sum is σ = 14737282560. Its totient is φ = 1122240000.

The previous prime is 4350539909. The next prime is 4350540037. The reversal of 4350540000 is 450534.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1858831 + ... + 1861169.

It is an arithmetic number, because the mean of its divisors is an integer number (61405344).

Almost surely, 24350540000 is an apocalyptic number.

4350540000 is a gapful number since it is divisible by the number (40) 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 4350540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368641280).

4350540000 is an abundant number, since it is smaller than the sum of its proper divisors (10386742560).

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

4350540000 is a wasteful number, since it uses less digits than its factorization.

4350540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4350540000 is about 65958.6233937610. The cubic root of 4350540000 is about 1632.4794463133.

Adding to 4350540000 its reverse (450534), we get a palindrome (4350990534).

The spelling of 4350540000 in words is "four billion, three hundred fifty million, five hundred forty thousand".