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34882096 = 2417257499
BaseRepresentation
bin1000010100010…
…0001000110000
32102122012020111
42011010020300
532412211341
63243351104
7602331034
oct205041060
972565214
1034882096
1118765487
12b822494
1372c41c2
1448c01c4
1530e0681
hex2144230

34882096 has 40 divisors (see below), whose sum is σ = 71982000. Its totient is φ = 16318464.

The previous prime is 34882093. The next prime is 34882097. The reversal of 34882096 is 69028843.

It is not an unprimeable number, because it can be changed into a prime (34882093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69655 + ... + 70153.

It is an arithmetic number, because the mean of its divisors is an integer number (1799550).

Almost surely, 234882096 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 34882096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35991000).

34882096 is an abundant number, since it is smaller than the sum of its proper divisors (37099904).

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

34882096 is a wasteful number, since it uses less digits than its factorization.

34882096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 34882096 is about 5906.1066702185. The cubic root of 34882096 is about 326.7389113202.

The spelling of 34882096 in words is "thirty-four million, eight hundred eighty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 257 272 499 514 998 1028 1996 2056 3992 4112 4369 7984 8483 8738 16966 17476 33932 34952 67864 69904 128243 135728 256486 512972 1025944 2051888 2180131 4360262 8720524 17441048 34882096