Search a number
-
+
350036040 = 23355934919
BaseRepresentation
bin10100110111010…
…010000001001000
3220101122200011210
4110313102001020
51204102123130
654422253120
711450154144
oct2467220110
9811580153
10350036040
1116a64a292
12992871a0
1357699723
14346ba224
1520ae45b0
hex14dd2048

350036040 has 64 divisors (see below), whose sum is σ = 1052092800. Its totient is φ = 93166592.

The previous prime is 350036033. The next prime is 350036041. The reversal of 350036040 is 40630053.

350036040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 350035998 and 350036016.

It is not an unprimeable number, because it can be changed into a prime (350036041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68701 + ... + 73619.

It is an arithmetic number, because the mean of its divisors is an integer number (16438950).

Almost surely, 2350036040 is an apocalyptic number.

350036040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350036040 is an abundant number, since it is smaller than the sum of its proper divisors (702056760).

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

350036040 is a wasteful number, since it uses less digits than its factorization.

350036040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 350036040 is about 18709.2501185911. The cubic root of 350036040 is about 704.7540613902.

Adding to 350036040 its reverse (40630053), we get a palindrome (390666093).

The spelling of 350036040 in words is "three hundred fifty million, thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 593 1186 1779 2372 2965 3558 4744 4919 5930 7116 8895 9838 11860 14232 14757 17790 19676 23720 24595 29514 35580 39352 49190 59028 71160 73785 98380 118056 147570 196760 295140 590280 2916967 5833934 8750901 11667868 14584835 17501802 23335736 29169670 35003604 43754505 58339340 70007208 87509010 116678680 175018020 350036040