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34950636 = 2233783557
BaseRepresentation
bin1000010101010…
…0110111101100
32102202200021000
42011110313230
532421410021
63245040300
7603034620
oct205246754
972680230
1034950636
1118801a26
12b856090
137319466
1448db180
153105b26
hex2154dec

34950636 has 96 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 9847872.

The previous prime is 34950631. The next prime is 34950647. The reversal of 34950636 is 63605943.

34950636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34950636.

It is not an unprimeable number, because it can be changed into a prime (34950631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62470 + ... + 63026.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 234950636 is an apocalyptic number.

34950636 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 34950636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

34950636 is an abundant number, since it is smaller than the sum of its proper divisors (70042644).

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

34950636 is a wasteful number, since it uses less digits than its factorization.

34950636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 34950636 is about 5911.9062915442. The cubic root of 34950636 is about 326.9527749325.

The spelling of 34950636 in words is "thirty-four million, nine hundred fifty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 557 581 747 756 996 1114 1162 1494 1671 1743 2228 2241 2324 2988 3342 3486 3899 4482 5013 5229 6684 6972 7798 8964 10026 10458 11697 15039 15596 15687 20052 20916 23394 30078 31374 35091 46231 46788 60156 62748 70182 92462 105273 138693 140364 184924 210546 277386 323617 416079 421092 554772 647234 832158 970851 1248237 1294468 1664316 1941702 2496474 2912553 3883404 4992948 5825106 8737659 11650212 17475318 34950636