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34135431 = 3112271347
BaseRepresentation
bin1000001000110…
…1110110000111
32101020021000020
42002031312013
532214313211
63215350223
7563101131
oct202156607
971207006
1034135431
11182a5500
12b522373
1370c23a5
144768051
152ee4306
hex208dd87

34135431 has 24 divisors (see below), whose sum is σ = 50356992. Its totient is φ = 20552400.

The previous prime is 34135397. The next prime is 34135447. The reversal of 34135431 is 13453143.

It is a happy number.

It is not a de Polignac number, because 34135431 - 211 = 34133383 is a prime.

It is a super-2 number, since 2×341354312 = 2330455299111522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98200 + ... + 98546.

It is an arithmetic number, because the mean of its divisors is an integer number (2098208).

Almost surely, 234135431 is an apocalyptic number.

34135431 is a deficient number, since it is larger than the sum of its proper divisors (16221561).

34135431 is a wasteful number, since it uses less digits than its factorization.

34135431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 34135431 is about 5842.5534657374. The cubic root of 34135431 is about 324.3907513113.

Adding to 34135431 its reverse (13453143), we get a palindrome (47588574).

The spelling of 34135431 in words is "thirty-four million, one hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 271 347 363 813 1041 2981 3817 8943 11451 32791 41987 94037 98373 125961 282111 1034407 3103221 11378477 34135431