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4041300340 = 22571119313597
BaseRepresentation
bin1111000011100001…
…0101100101110100
3101102122102022212101
43300320111211310
531234033102330
61505003031444
7202101325510
oct36070254564
911378368771
104041300340
111794232840
1294950b584
134c535209c
142a4a25140
15189bd24ca
hexf0e15974

4041300340 has 96 divisors (see below), whose sum is σ = 10636464384. Its totient is φ = 1253007360.

The previous prime is 4041300331. The next prime is 4041300349. The reversal of 4041300340 is 430031404.

4041300340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4041300331) and next prime (4041300349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041300349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290422 + ... + 304018.

It is an arithmetic number, because the mean of its divisors is an integer number (110796504).

Almost surely, 24041300340 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 4041300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318232192).

4041300340 is an abundant number, since it is smaller than the sum of its proper divisors (6595164044).

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

4041300340 is a wasteful number, since it uses less digits than its factorization.

4041300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13817 (or 13815 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4041300340 is about 63571.2225775154. Note that the first 3 decimals coincide. The cubic root of 4041300340 is about 1592.8457061677.

Adding to 4041300340 its reverse (430031404), we get a palindrome (4471331744).

The spelling of 4041300340 in words is "four billion, forty-one million, three hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 193 220 308 385 386 770 772 965 1351 1540 1930 2123 2702 3860 4246 5404 6755 8492 10615 13510 13597 14861 21230 27020 27194 29722 42460 54388 59444 67985 74305 95179 135970 148610 149567 190358 271940 297220 299134 380716 475895 598268 747835 951790 1046969 1495670 1903580 2093938 2624221 2991340 4187876 5234845 5248442 10469690 10496884 13121105 18369547 20939380 26242210 28866431 36739094 52484420 57732862 73478188 91847735 115465724 144332155 183695470 202065017 288664310 367390940 404130034 577328620 808260068 1010325085 2020650170 4041300340