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4354140096 = 26351743383
BaseRepresentation
bin1000000111000011…
…01110011111000000
3102020110002020100000
410003201232133000
532404124440341
62000020200000
7212620402665
oct40341563700
912213066300
104354140096
111934886999
12a16239000
135450c7177
142d43bba6c
151a73ca8b6
hex10386e7c0

4354140096 has 336 divisors, whose sum is σ = 14059229184. Its totient is φ = 1330753536.

The previous prime is 4354140071. The next prime is 4354140103. The reversal of 4354140096 is 6900414534.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4354140096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11368321 + ... + 11368703.

It is an arithmetic number, because the mean of its divisors is an integer number (41842944).

Almost surely, 24354140096 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 4354140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029614592).

4354140096 is an abundant number, since it is smaller than the sum of its proper divisors (9705089088).

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

4354140096 is a wasteful number, since it uses less digits than its factorization.

4354140096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4354140096 is about 65985.9083138211. The cubic root of 4354140096 is about 1632.9296174310.

The spelling of 4354140096 in words is "four billion, three hundred fifty-four million, one hundred forty thousand, ninety-six".