Search a number
-
+
350075424 = 25317214507
BaseRepresentation
bin10100110111011…
…011101000100000
3220101201200012110
4110313123220200
51204104403144
654423155320
711450410026
oct2467335040
9811650173
10350075424
1116a676936
12992a5b40
13576b162a
14346ca716
1520b010b9
hex14ddba20

350075424 has 48 divisors (see below), whose sum is σ = 973008288. Its totient is φ = 109827072.

The previous prime is 350075423. The next prime is 350075447. The reversal of 350075424 is 424570053.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 350075391 and 350075400.

It is not an unprimeable number, because it can be changed into a prime (350075423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105622 + ... + 108885.

It is an arithmetic number, because the mean of its divisors is an integer number (20271006).

Almost surely, 2350075424 is an apocalyptic number.

350075424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

350075424 is an abundant number, since it is smaller than the sum of its proper divisors (622932864).

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

350075424 is a wasteful number, since it uses less digits than its factorization.

350075424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214537 (or 214529 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 350075424 is about 18710.3026164731. The cubic root of 350075424 is about 704.7804919953.

The spelling of 350075424 in words is "three hundred fifty million, seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 214507 429014 643521 858028 1287042 1716056 2574084 3432112 3646619 5148168 6864224 7293238 10296336 10939857 14586476 20592672 21879714 29172952 43759428 58345904 87518856 116691808 175037712 350075424