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34001141 = 31235381
BaseRepresentation
bin1000000110110…
…1000011110101
32100222102210112
42001231003311
532201014031
63212432405
7562001456
oct201550365
970872715
1034001141
1118213619
12b478705
137076225
14473112d
152eb962b
hex206d0f5

34001141 has 6 divisors (see below), whose sum is σ = 35134326. Its totient is φ = 32903400.

The previous prime is 34001131. The next prime is 34001161. The reversal of 34001141 is 14110043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32890225 + 1110916 = 5735^2 + 1054^2 .

It is not a de Polignac number, because 34001141 - 210 = 34000117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16730 + ... + 18651.

It is an arithmetic number, because the mean of its divisors is an integer number (5855721).

Almost surely, 234001141 is an apocalyptic number.

34001141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34001141 is a deficient number, since it is larger than the sum of its proper divisors (1133185).

34001141 is an equidigital number, since it uses as much as digits as its factorization.

34001141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35443 (or 35412 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 34001141 is about 5831.0497339673. The cubic root of 34001141 is about 323.9648040059.

Adding to 34001141 its reverse (14110043), we get a palindrome (48111184).

The spelling of 34001141 in words is "thirty-four million, one thousand, one hundred forty-one".

Divisors: 1 31 961 35381 1096811 34001141