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34120541 = 713715281
BaseRepresentation
bin1000001000101…
…0001101011101
32101012111120202
42002022031131
532213324131
63215153245
7563006540
oct202121535
971174522
1034120541
11182952a4
12b515825
1370b8690
144762857
152edebcb
hex208a35d

34120541 has 16 divisors (see below), whose sum is σ = 42594048. Its totient is φ = 26611200.

The previous prime is 34120531. The next prime is 34120571. The reversal of 34120541 is 14502143.

It is a de Polignac number, because none of the positive numbers 2k-34120541 is a prime.

It is a super-2 number, since 2×341205412 = 2328422636265362, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3821 + ... + 9101.

It is an arithmetic number, because the mean of its divisors is an integer number (2662128).

Almost surely, 234120541 is an apocalyptic number.

It is an amenable number.

34120541 is a deficient number, since it is larger than the sum of its proper divisors (8473507).

34120541 is a wasteful number, since it uses less digits than its factorization.

34120541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 34120541 is about 5841.2790551385. The cubic root of 34120541 is about 324.3435776404.

Adding to 34120541 its reverse (14502143), we get a palindrome (48622684).

It can be divided in two parts, 341205 and 41, that multiplied together give a triangular number (13989405 = T5289).

The spelling of 34120541 in words is "thirty-four million, one hundred twenty thousand, five hundred forty-one".

Divisors: 1 7 13 71 91 497 923 5281 6461 36967 68653 374951 480571 2624657 4874363 34120541