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34011541 is a prime number
BaseRepresentation
bin1000000110111…
…1100110010101
32100222222001201
42001233212111
532201332131
63212552501
7562044004
oct201574625
970888051
1034011541
1118220413
12b482731
13707ab95
144734c3b
152ebc761
hex206f995

34011541 has 2 divisors, whose sum is σ = 34011542. Its totient is φ = 34011540.

The previous prime is 34011521. The next prime is 34011559. The reversal of 34011541 is 14511043.

34011541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26471025 + 7540516 = 5145^2 + 2746^2 .

It is a cyclic number.

It is not a de Polignac number, because 34011541 - 27 = 34011413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34011511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17005770 + 17005771.

It is an arithmetic number, because the mean of its divisors is an integer number (17005771).

Almost surely, 234011541 is an apocalyptic number.

It is an amenable number.

34011541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34011541 is an equidigital number, since it uses as much as digits as its factorization.

34011541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 34011541 is about 5831.9414434646. The cubic root of 34011541 is about 323.9978312358.

Adding to 34011541 its reverse (14511043), we get a palindrome (48522584).

It can be divided in two parts, 340 and 11541, that added together give a square (11881 = 1092).

The spelling of 34011541 in words is "thirty-four million, eleven thousand, five hundred forty-one".