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34142269 = 72897829
BaseRepresentation
bin1000001000111…
…1100000111101
32101020121101111
42002033200331
532220023034
63215442021
7563130100
oct202174075
971217344
1034142269
11182aa657
12b526311
1370c5535
14476a737
152ee6364
hex208f83d

34142269 has 12 divisors (see below), whose sum is σ = 40167900. Its totient is φ = 28932288.

The previous prime is 34142237. The next prime is 34142291. The reversal of 34142269 is 96224143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5466244 + 28676025 = 2338^2 + 5355^2 .

It is not a de Polignac number, because 34142269 - 25 = 34142237 is a prime.

It is a super-2 number, since 2×341422692 = 2331389064936722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34142269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447 + ... + 8275.

It is an arithmetic number, because the mean of its divisors is an integer number (3347325).

Almost surely, 234142269 is an apocalyptic number.

It is an amenable number.

34142269 is a deficient number, since it is larger than the sum of its proper divisors (6025631).

34142269 is an equidigital number, since it uses as much as digits as its factorization.

34142269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7925 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 34142269 is about 5843.1386257730. The cubic root of 34142269 is about 324.4124104867.

The spelling of 34142269 in words is "thirty-four million, one hundred forty-two thousand, two hundred sixty-nine".

Divisors: 1 7 49 89 623 4361 7829 54803 383621 696781 4877467 34142269