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341311140 = 223251896173
BaseRepresentation
bin10100010101111…
…111111010100100
3212210020101212100
4110111333322210
51144333424030
653511252100
711313045132
oct2425777244
9783211770
10341311140
11165730125
129637a030
1355933371
1433488752
151ee6e360
hex1457fea4

341311140 has 36 divisors (see below), whose sum is σ = 1035311004. Its totient is φ = 91016256.

The previous prime is 341311109. The next prime is 341311141. The reversal of 341311140 is 41113143.

341311140 is a `hidden beast` number, since 341 + 311 + 14 + 0 = 666.

341311140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 240188004 = 10056^2 + 15498^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (341311141) 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 11 ways as a sum of consecutive naturals, for example, 947907 + ... + 948266.

It is an arithmetic number, because the mean of its divisors is an integer number (28758639).

Almost surely, 2341311140 is an apocalyptic number.

341311140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341311140 is an abundant number, since it is smaller than the sum of its proper divisors (693999864).

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

341311140 is a wasteful number, since it uses less digits than its factorization.

341311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896188 (or 1896183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 341311140 is about 18474.6079796027. The cubic root of 341311140 is about 698.8492248495.

Adding to 341311140 its reverse (41113143), we get a palindrome (382424283).

The spelling of 341311140 in words is "three hundred forty-one million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1896173 3792346 5688519 7584692 9480865 11377038 17065557 18961730 22754076 28442595 34131114 37923460 56885190 68262228 85327785 113770380 170655570 341311140