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4030412240 = 2451922711681
BaseRepresentation
bin1111000000111011…
…0011010111010000
3101101212221011012102
43300032303113100
531223241142430
61503533415532
7201606640001
oct36016632720
911355834172
104030412240
111789076408
1294593a5a8
134c300c21a
142a33cd1a8
15188c81345
hexf03b35d0

4030412240 has 80 divisors (see below), whose sum is σ = 9908205120. Its totient is φ = 1520455680.

The previous prime is 4030412213. The next prime is 4030412279. The reversal of 4030412240 is 422140304.

4030412240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339200 + ... + 350880.

It is an arithmetic number, because the mean of its divisors is an integer number (123852564).

Almost surely, 24030412240 is an apocalyptic number.

4030412240 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 4030412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954102560).

4030412240 is an abundant number, since it is smaller than the sum of its proper divisors (5877792880).

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

4030412240 is a wasteful number, since it uses less digits than its factorization.

4030412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4030412240 is about 63485.5277996490. The cubic root of 4030412240 is about 1591.4139341722.

Adding to 4030412240 its reverse (422140304), we get a palindrome (4452552544).

The spelling of 4030412240 in words is "four billion, thirty million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 227 304 380 454 760 908 1135 1520 1816 2270 3632 4313 4540 8626 9080 11681 17252 18160 21565 23362 34504 43130 46724 58405 69008 86260 93448 116810 172520 186896 221939 233620 345040 443878 467240 887756 934480 1109695 1775512 2219390 2651587 3551024 4438780 5303174 8877560 10606348 13257935 17755120 21212696 26515870 42425392 50380153 53031740 100760306 106063480 201520612 212126960 251900765 403041224 503801530 806082448 1007603060 2015206120 4030412240