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350098938 = 232727110253
BaseRepresentation
bin10100110111100…
…001010111111010
3220101202212110100
4110313201113322
51204111131223
654423500230
711450535420
oct2467412772
9811685410
10350098938
1116a692572
12992b7676
13576bc247
14346d5110
1520b08043
hex14de15fa

350098938 has 48 divisors (see below), whose sum is σ = 870195456. Its totient is φ = 99649440.

The previous prime is 350098937. The next prime is 350098949. The reversal of 350098938 is 839890053.

350098938 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 = 350098893 and 350098902.

It is not an unprimeable number, because it can be changed into a prime (350098937) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29020 + ... + 39272.

It is an arithmetic number, because the mean of its divisors is an integer number (18129072).

Almost surely, 2350098938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350098938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435097728).

350098938 is an abundant number, since it is smaller than the sum of its proper divisors (520096518).

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

350098938 is a wasteful number, since it uses less digits than its factorization.

350098938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10539 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 350098938 is about 18710.9309763037. The cubic root of 350098938 is about 704.7962712973.

The spelling of 350098938 in words is "three hundred fifty million, ninety-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 271 542 813 1626 1897 2439 3794 4878 5691 10253 11382 17073 20506 30759 34146 61518 71771 92277 143542 184554 215313 430626 645939 1291878 2778563 5557126 8335689 16671378 19449941 25007067 38899882 50014134 58349823 116699646 175049469 350098938