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34318116 = 223272331191
BaseRepresentation
bin1000001011101…
…0011100100100
32101120112121100
42002322130210
532241134431
63223320100
7564461550
oct202723444
971515540
1034318116
111840a788
12b5b0030
1371575a1
1447b4860
15302d4e6
hex20ba724

34318116 has 144 divisors (see below), whose sum is σ = 107347968. Its totient is φ = 9028800.

The previous prime is 34318111. The next prime is 34318177. The reversal of 34318116 is 61181343.

It is a self number, because there is not a number n which added to its sum of digits gives 34318116.

It is not an unprimeable number, because it can be changed into a prime (34318111) 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 47 ways as a sum of consecutive naturals, for example, 179581 + ... + 179771.

It is an arithmetic number, because the mean of its divisors is an integer number (745472).

Almost surely, 234318116 is an apocalyptic number.

34318116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34318116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53673984).

34318116 is an abundant number, since it is smaller than the sum of its proper divisors (73029852).

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

34318116 is a wasteful number, since it uses less digits than its factorization.

34318116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 34318116 is about 5858.1666073952. The cubic root of 34318116 is about 324.9684103418.

Adding to 34318116 its reverse (61181343), we get a palindrome (95499459).

The spelling of 34318116 in words is "thirty-four million, three hundred eighteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 31 36 42 46 62 63 69 84 92 93 124 126 138 161 186 191 207 217 252 276 279 322 372 382 414 434 483 558 573 644 651 713 764 828 868 966 1116 1146 1302 1337 1426 1449 1719 1932 1953 2139 2292 2604 2674 2852 2898 3438 3906 4011 4278 4393 4991 5348 5796 5921 6417 6876 7812 8022 8556 8786 9982 11842 12033 12834 13179 14973 16044 17572 17763 19964 23684 24066 25668 26358 29946 30751 35526 39537 41447 44919 48132 52716 53289 59892 61502 71052 79074 82894 89838 92253 106578 123004 124341 136183 158148 165788 179676 184506 213156 248682 272366 276759 369012 373023 408549 497364 544732 553518 746046 817098 953281 1107036 1225647 1492092 1634196 1906562 2451294 2859843 3813124 4902588 5719686 8579529 11439372 17159058 34318116