Search a number
-
+
34882812 = 22342331151
BaseRepresentation
bin1000010100010…
…0010011111100
32102122020020000
42011010103330
532412222222
63243354300
7602333106
oct205042374
972566200
1034882812
1118765a78
12b822990
1372c4623
1448c0576
1530e09ac
hex21444fc

34882812 has 120 divisors (see below), whose sum is σ = 98875392. Its totient is φ = 10692000.

The previous prime is 34882807. The next prime is 34882817. The reversal of 34882812 is 21828843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34882807) and next prime (34882817).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34882817) 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 39 ways as a sum of consecutive naturals, for example, 230937 + ... + 231087.

Almost surely, 234882812 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 34882812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49437696).

34882812 is an abundant number, since it is smaller than the sum of its proper divisors (63992580).

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

34882812 is a wasteful number, since it uses less digits than its factorization.

34882812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 34882812 is about 5906.1672851351. The cubic root of 34882812 is about 326.7411468841.

The spelling of 34882812 in words is "thirty-four million, eight hundred eighty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 151 162 186 207 276 279 302 324 372 414 453 558 604 621 713 828 837 906 1116 1242 1359 1426 1674 1812 1863 2139 2484 2511 2718 2852 3348 3473 3726 4077 4278 4681 5022 5436 6417 6946 7452 8154 8556 9362 10044 10419 12231 12834 13892 14043 16308 18724 19251 20838 24462 25668 28086 31257 38502 41676 42129 48924 56172 57753 62514 77004 84258 93771 107663 115506 125028 126387 168516 187542 215326 231012 252774 281313 322989 375084 379161 430652 505548 562626 645978 758322 968967 1125252 1291956 1516644 1937934 2906901 3875868 5813802 8720703 11627604 17441406 34882812