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34854190 = 257283857
BaseRepresentation
bin1000010011110…
…1010100101110
32102120202221221
42010331110232
532410313230
63243013554
7602153500
oct204752456
972522857
1034854190
1118746518
12b80a2ba
1372b45a7
1448b3d70
1530d727a
hex213d52e

34854190 has 48 divisors (see below), whose sum is σ = 73945872. Its totient is φ = 11792256.

The previous prime is 34854187. The next prime is 34854251. The reversal of 34854190 is 9145843.

34854190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×348541902 = 2429629121112200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40242 + ... + 41098.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539).

Almost surely, 234854190 is an apocalyptic number.

34854190 is an abundant number, since it is smaller than the sum of its proper divisors (39091682).

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

34854190 is a wasteful number, since it uses less digits than its factorization.

34854190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 34854190 is about 5903.7437275004. The cubic root of 34854190 is about 326.6517566891.

The spelling of 34854190 in words is "thirty-four million, eight hundred fifty-four thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 83 98 166 245 415 490 581 830 857 1162 1714 2905 4067 4285 5810 5999 8134 8570 11998 20335 29995 40670 41993 59990 71131 83986 142262 209965 355655 419930 497917 711310 995834 2489585 3485419 4979170 6970838 17427095 34854190