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34516482 = 23721113821
BaseRepresentation
bin1000001110101…
…0111000000010
32101221121201020
42003222320002
532314011412
63231450310
7566246100
oct203527002
971847636
1034516482
1118535820
12b686996
1371c6970
144826c70
15306c18c
hex20eae02

34516482 has 96 divisors (see below), whose sum is σ = 94457664. Its totient is φ = 8265600.

The previous prime is 34516481. The next prime is 34516501. The reversal of 34516482 is 28461543.

34516482 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34516481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41632 + ... + 42452.

It is an arithmetic number, because the mean of its divisors is an integer number (983934).

Almost surely, 234516482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34516482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47228832).

34516482 is an abundant number, since it is smaller than the sum of its proper divisors (59941182).

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

34516482 is a wasteful number, since it uses less digits than its factorization.

34516482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 34516482 is about 5875.0729357175. The cubic root of 34516482 is about 325.5933366279.

The spelling of 34516482 in words is "thirty-four million, five hundred sixteen thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 429 462 539 546 637 821 858 1001 1078 1274 1617 1642 1911 2002 2463 3003 3234 3822 4926 5747 6006 7007 9031 10673 11494 14014 17241 18062 21021 21346 27093 32019 34482 40229 42042 54186 63217 64038 74711 80458 117403 120687 126434 149422 189651 224133 234806 241374 352209 379302 442519 448266 522977 704418 821821 885038 1045954 1327557 1568931 1643642 2465463 2655114 3137862 4930926 5752747 11505494 17258241 34516482