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4420334000 = 245311319559
BaseRepresentation
bin1000001110111100…
…01111000110110000
3102102001122020022002
410013132033012300
533023101142000
62010343033132
7214353135065
oct40736170660
912361566262
104420334000
1119691883a5
12a3443b7a8
13555a32464
142dd0ccc6c
151ad1038d5
hex10778f1b0

4420334000 has 80 divisors (see below), whose sum is σ = 10783506240. Its totient is φ = 1752396800.

The previous prime is 4420333993. The next prime is 4420334003. The reversal of 4420334000 is 4330244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4420334003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216221 + ... + 235779.

It is an arithmetic number, because the mean of its divisors is an integer number (134793828).

Almost surely, 24420334000 is an apocalyptic number.

4420334000 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 4420334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391753120).

4420334000 is an abundant number, since it is smaller than the sum of its proper divisors (6363172240).

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

4420334000 is a wasteful number, since it uses less digits than its factorization.

4420334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19695 (or 19679 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4420334000 is about 66485.5924242238. The cubic root of 4420334000 is about 1641.1629170059.

Adding to 4420334000 its reverse (4330244), we get a palindrome (4424664244).

The spelling of 4420334000 in words is "four billion, four hundred twenty million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 5650 9040 11300 14125 19559 22600 28250 39118 45200 56500 78236 97795 113000 156472 195590 226000 312944 391180 488975 782360 977950 1564720 1955900 2210167 2444875 3911800 4420334 4889750 7823600 8840668 9779500 11050835 17681336 19559000 22101670 35362672 39118000 44203340 55254175 88406680 110508350 176813360 221016700 276270875 442033400 552541750 884066800 1105083500 2210167000 4420334000