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350135820 = 223251945199
BaseRepresentation
bin10100110111101…
…010011000001100
3220101211202001100
4110313222120030
51204113321240
654424343100
711451051066
oct2467523014
9811752040
10350135820
1116a708251
1299314a90
1357702c78
1434704736
1520b13e30
hex14dea60c

350135820 has 36 divisors (see below), whose sum is σ = 1062079200. Its totient is φ = 93369504.

The previous prime is 350135801. The next prime is 350135827. The reversal of 350135820 is 28531053.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350135827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972420 + ... + 972779.

It is an arithmetic number, because the mean of its divisors is an integer number (29502200).

Almost surely, 2350135820 is an apocalyptic number.

350135820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350135820 is an abundant number, since it is smaller than the sum of its proper divisors (711943380).

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

350135820 is a wasteful number, since it uses less digits than its factorization.

350135820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945214 (or 1945209 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 350135820 is about 18711.9165239694. The cubic root of 350135820 is about 704.8210199045.

Adding to 350135820 its reverse (28531053), we get a palindrome (378666873).

The spelling of 350135820 in words is "three hundred fifty million, one hundred thirty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1945199 3890398 5835597 7780796 9725995 11671194 17506791 19451990 23342388 29177985 35013582 38903980 58355970 70027164 87533955 116711940 175067910 350135820