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24134292 = 223271353139
BaseRepresentation
bin101110000010…
…0001010010100
31200102011000200
41130010022110
522134244132
62221140500
7412065240
oct134041224
950364020
1024134292
11126944a6
1280ba730
135000160
1432c3420
1521bad7c
hex1704294

24134292 has 144 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 6200064.

The previous prime is 24134267. The next prime is 24134303. The reversal of 24134292 is 29243142.

It is a super-4 number, since 4×241342924 (a number of 31 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173559 + ... + 173697.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 224134292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24134292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

24134292 is an abundant number, since it is smaller than the sum of its proper divisors (52917228).

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

24134292 is a wasteful number, since it uses less digits than its factorization.

24134292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 24134292 is about 4912.6664857285. Note that the first 3 decimals coincide. The cubic root of 24134292 is about 288.9869208610.

The spelling of 24134292 in words is "twenty-four million, one hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 53 63 78 84 91 106 117 126 139 156 159 182 212 234 252 273 278 318 364 371 417 468 477 546 556 636 689 742 819 834 954 973 1092 1113 1251 1378 1484 1638 1668 1807 1908 1946 2067 2226 2502 2756 2919 3276 3339 3614 3892 4134 4452 4823 5004 5421 5838 6201 6678 7228 7367 8268 8757 9646 10842 11676 12402 12649 13356 14469 14734 16263 17514 19292 21684 22101 24804 25298 28938 29468 32526 35028 37947 43407 44202 50596 51569 57876 65052 66303 75894 86814 88404 95771 103138 113841 132606 151788 154707 173628 191542 206276 227682 265212 287313 309414 383084 455364 464121 574626 618828 670397 861939 928242 1149252 1340794 1723878 1856484 2011191 2681588 3447756 4022382 6033573 8044764 12067146 24134292