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4030424300 = 2252723924091
BaseRepresentation
bin1111000000111011…
…0110010011101100
3101101212221202202002
43300032312103230
531223242034200
61503533551432
7201610020110
oct36016662354
911355852662
104030424300
111789084481
12945945578
134c3014866
142a33d3740
15188c84bd5
hexf03b64ec

4030424300 has 72 divisors (see below), whose sum is σ = 10037690880. Its totient is φ = 1376020800.

The previous prime is 4030424261. The next prime is 4030424303. The reversal of 4030424300 is 34240304.

It is a happy number.

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 (4030424303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155255 + ... + 179345.

Almost surely, 24030424300 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 4030424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018845440).

4030424300 is an abundant number, since it is smaller than the sum of its proper divisors (6007266580).

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

4030424300 is a wasteful number, since it uses less digits than its factorization.

4030424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24351 (or 24344 counting only the distinct ones).

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

The square root of 4030424300 is about 63485.6227818551. The cubic root of 4030424300 is about 1591.4155214733.

Adding to 4030424300 its reverse (34240304), we get a palindrome (4064664604).

The spelling of 4030424300 in words is "four billion, thirty million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 239 350 478 700 956 1195 1673 2390 3346 4780 5975 6692 8365 11950 16730 23900 24091 33460 41825 48182 83650 96364 120455 167300 168637 240910 337274 481820 602275 674548 843185 1204550 1686370 2409100 3372740 4215925 5757749 8431850 11515498 16863700 23030996 28788745 40304243 57577490 80608486 115154980 143943725 161216972 201521215 287887450 403042430 575774900 806084860 1007606075 2015212150 4030424300