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350040942 = 23237796653
BaseRepresentation
bin10100110111010…
…011001101101110
3220101122220220100
4110313103031232
51204102302232
654422331530
711450204346
oct2467231556
9811586810
10350040942
1116a652a39
1299289ba6
135769ba24
14346bbd26
1520ae5c7c
hex14dd336e

350040942 has 48 divisors (see below), whose sum is σ = 788898240. Its totient is φ = 112072896.

The previous prime is 350040937. The next prime is 350040953. The reversal of 350040942 is 249040053.

It is a super-2 number, since 2×3500409422 = 245057322152494728, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 49288 + ... + 55940.

It is an arithmetic number, because the mean of its divisors is an integer number (16435380).

Almost surely, 2350040942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350040942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394449120).

350040942 is an abundant number, since it is smaller than the sum of its proper divisors (438857298).

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

350040942 is a wasteful number, since it uses less digits than its factorization.

350040942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 350040942 is about 18709.3811228485. The cubic root of 350040942 is about 704.7573512308.

Adding to 350040942 its reverse (249040053), we get a palindrome (599080995).

The spelling of 350040942 in words is "three hundred fifty million, forty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 79 111 158 222 237 333 474 666 711 1422 2923 5846 6653 8769 13306 17538 19959 26307 39918 52614 59877 119754 246161 492322 525587 738483 1051174 1476966 1576761 2215449 3153522 4430898 4730283 9460566 19446719 38893438 58340157 116680314 175020471 350040942