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4354442820 = 22335721312659
BaseRepresentation
bin1000000111000101…
…11000011001000100
3102020110122121121000
410003202320121010
532404214132240
62000030453300
7212623103400
oct40342703104
912213577530
104354442820
111934a73382
12a16364230
135451a1bb0
142d445a100
151a743a430
hex1038b8644

4354442820 has 288 divisors, whose sum is σ = 16972502400. Its totient is φ = 918667008.

The previous prime is 4354442767. The next prime is 4354442821. The reversal of 4354442820 is 282444534.

It is a super-2 number, since 2×43544428202 = 37922344545299104800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4354442821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337651 + ... + 350309.

It is an arithmetic number, because the mean of its divisors is an integer number (58932300).

Almost surely, 24354442820 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 4354442820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486251200).

4354442820 is an abundant number, since it is smaller than the sum of its proper divisors (12618059580).

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

4354442820 is a wasteful number, since it uses less digits than its factorization.

4354442820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12704 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4354442820 is about 65988.2021273500. The cubic root of 4354442820 is about 1632.9674599991.

The spelling of 4354442820 in words is "four billion, three hundred fifty-four million, four hundred forty-two thousand, eight hundred twenty".