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4106433340 = 2252369112919
BaseRepresentation
bin1111010011000011…
…0011001100111100
3101121011222102112201
43310300303030330
531402221331330
61515251041244
7203522051602
oct36460631474
911534872481
104106433340
111817a7a169
129672a0224
135059a8519
142ad53b872
1519079aeca
hexf4c3333c

4106433340 has 48 divisors (see below), whose sum is σ = 9012165120. Its totient is φ = 1568761920.

The previous prime is 4106433329. The next prime is 4106433377. The reversal of 4106433340 is 433346014.

It is a junction number, because it is equal to n+sod(n) for n = 4106433299 and 4106433308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 311401 + ... + 324319.

It is an arithmetic number, because the mean of its divisors is an integer number (187753440).

Almost surely, 24106433340 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 4106433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506082560).

4106433340 is an abundant number, since it is smaller than the sum of its proper divisors (4905731780).

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

4106433340 is a wasteful number, since it uses less digits than its factorization.

4106433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13642 (or 13640 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 4106433340 is about 64081.4586288421. The cubic root of 4106433340 is about 1601.3573559773.

Adding to 4106433340 its reverse (433346014), we get a palindrome (4539779354).

The spelling of 4106433340 in words is "four billion, one hundred six million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 691 1382 2764 3455 6910 12919 13820 15893 25838 31786 51676 63572 64595 79465 129190 158930 258380 297137 317860 594274 1188548 1485685 2971370 5942740 8927029 17854058 35708116 44635145 89270290 178540580 205321667 410643334 821286668 1026608335 2053216670 4106433340