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34882708 = 22721719229
BaseRepresentation
bin1000010100010…
…0010010010100
32102122020002011
42011010102110
532412221313
63243354004
7602332600
oct205042224
972566064
1034882708
1118765993
12b822904
1372c4573
1448c0500
1530e093d
hex2144494

34882708 has 108 divisors (see below), whose sum is σ = 82090260. Its totient is φ = 12870144.

The previous prime is 34882703. The next prime is 34882711. The reversal of 34882708 is 80728843.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 11957764 = 4788^2 + 3458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34882703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1202838 + ... + 1202866.

It is an arithmetic number, because the mean of its divisors is an integer number (760095).

Almost surely, 234882708 is an apocalyptic number.

34882708 is a gapful number since it is divisible by the number (38) 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 34882708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41045130).

34882708 is an abundant number, since it is smaller than the sum of its proper divisors (47207552).

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

34882708 is a wasteful number, since it uses less digits than its factorization.

34882708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 34882708 is about 5906.1584807724. The cubic root of 34882708 is about 326.7408221672.

The spelling of 34882708 in words is "thirty-four million, eight hundred eighty-two thousand, seven hundred eight".

Divisors: 1 2 4 7 14 17 19 28 29 34 38 49 58 68 76 98 116 119 133 196 203 238 266 323 361 406 476 493 532 551 646 722 812 833 931 986 1102 1292 1421 1444 1666 1862 1972 2204 2261 2527 2842 3332 3451 3724 3857 4522 5054 5684 6137 6902 7714 9044 9367 10108 10469 12274 13804 15428 15827 17689 18734 20938 24157 24548 26999 31654 35378 37468 41876 42959 48314 53998 63308 65569 70756 73283 85918 96628 107996 131138 146566 171836 177973 262276 293132 300713 355946 458983 512981 601426 711892 917966 1025962 1202852 1245811 1835932 2051924 2491622 4983244 8720677 17441354 34882708