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4430220345 = 335377511181
BaseRepresentation
bin1000010000000111…
…11100110000111001
3102102202020111211000
410020003330300321
533033114022340
62011334555213
7214533152205
oct41003746071
912382214730
104430220345
111973820131
12a37808b09
13557ab4375
14300543b05
151ade07d30
hex1080fcc39

4430220345 has 64 divisors (see below), whose sum is σ = 8106439680. Its totient is φ = 2293920000.

The previous prime is 4430220341. The next prime is 4430220413. The reversal of 4430220345 is 5430220344.

4430220345 is a `hidden beast` number, since 4 + 430 + 220 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 4430220345 - 22 = 4430220341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4430220341) 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, 3750655 + ... + 3751835.

It is an arithmetic number, because the mean of its divisors is an integer number (126663120).

Almost surely, 24430220345 is an apocalyptic number.

4430220345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4430220345 is a deficient number, since it is larger than the sum of its proper divisors (3676219335).

4430220345 is a wasteful number, since it uses less digits than its factorization.

4430220345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4430220345 is about 66559.9004281106. The cubic root of 4430220345 is about 1642.3855261017.

Adding to 4430220345 its reverse (5430220344), we get a palindrome (9860440689).

Subtracting 4430220345 from its reverse (5430220344), we obtain a palindrome (999999999).

The spelling of 4430220345 in words is "four billion, four hundred thirty million, two hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 37 45 111 135 185 333 555 751 999 1181 1665 2253 3543 3755 4995 5905 6759 10629 11265 17715 20277 27787 31887 33795 43697 53145 83361 101385 131091 138935 159435 218485 250083 393273 416805 655455 750249 886931 1179819 1250415 1966365 2660793 3751245 4434655 5899095 7982379 13303965 23947137 32816447 39911895 98449341 119735685 164082235 295348023 492246705 886044069 1476740115 4430220345