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34144131 = 372359647
BaseRepresentation
bin1000001000111…
…1111110000011
32101020200221110
42002033332003
532220103011
63215454403
7563135400
oct202177603
971220843
1034144131
1118300a9a
12b527403
1370c6338
14476b2a7
152ee6ba6
hex208ff83

34144131 has 24 divisors (see below), whose sum is σ = 53187840. Its totient is φ = 19426512.

The previous prime is 34144093. The next prime is 34144151. The reversal of 34144131 is 13144143.

34144131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34144131 - 213 = 34135939 is a prime.

It is a super-2 number, since 2×341441312 = 2331643363490322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34144098 and 34144107.

It is not an unprimeable number, because it can be changed into a prime (34144151) 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 in 23 ways as a sum of consecutive naturals, for example, 52450 + ... + 53096.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 234144131 is an apocalyptic number.

34144131 is a deficient number, since it is larger than the sum of its proper divisors (19043709).

34144131 is a wasteful number, since it uses less digits than its factorization.

34144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1016 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 34144131 is about 5843.2979557781. The cubic root of 34144131 is about 324.4183078191.

Adding to 34144131 its reverse (13144143), we get a palindrome (47288274).

The spelling of 34144131 in words is "thirty-four million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 359 647 1077 1941 2513 4529 7539 13587 17591 31703 52773 95109 232273 696819 1625911 4877733 11381377 34144131