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34121142 = 233111731109
BaseRepresentation
bin1000001000101…
…0010110110110
32101012112102000
42002022112312
532213334032
63215200130
7563011356
oct202122666
971175360
1034121142
11182957a0
12b516046
1370b8a33
144762b66
152edee7c
hex208a5b6

34121142 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 9331200.

The previous prime is 34121099. The next prime is 34121147. The reversal of 34121142 is 24112143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121147) 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 63 ways as a sum of consecutive naturals, for example, 312984 + ... + 313092.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 234121142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619200).

34121142 is an abundant number, since it is smaller than the sum of its proper divisors (57117258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34121142 is a wasteful number, since it uses less digits than its factorization.

34121142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34121142 is about 5841.3304991243. The cubic root of 34121142 is about 324.3454819609.

Adding to 34121142 its reverse (24112143), we get a palindrome (58233285).

It can be divided in two parts, 3412 and 1142, that added together give a palindrome (4554).

The spelling of 34121142 in words is "thirty-four million, one hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 31 33 34 51 54 62 66 93 99 102 109 153 186 187 198 218 279 297 306 327 341 374 459 527 558 561 594 654 682 837 918 981 1023 1054 1122 1199 1581 1674 1683 1853 1962 2046 2398 2943 3069 3162 3366 3379 3597 3706 4743 5049 5559 5797 5886 6138 6758 7194 9207 9486 10098 10137 10791 11118 11594 14229 16677 17391 18414 20274 20383 21582 28458 30411 32373 33354 34782 37169 40766 50031 52173 57443 60822 61149 64746 74338 91233 100062 104346 111507 114886 122298 156519 172329 182466 183447 223014 313038 334521 344658 366894 516987 550341 631873 669042 1003563 1033974 1100682 1263746 1550961 1895619 2007126 3101922 3791238 5686857 11373714 17060571 34121142