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34985608 = 2372312879
BaseRepresentation
bin1000010101110…
…1011010001000
32102211110020021
42011131122020
532424014413
63245510224
7603241600
oct205353210
972743207
1034985608
1118826229
12b872374
13732c358
144909c00
15311118d
hex215d688

34985608 has 48 divisors (see below), whose sum is σ = 78796800. Its totient is φ = 14505120.

The previous prime is 34985597. The next prime is 34985611. The reversal of 34985608 is 80658943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10713 + ... + 13591.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 234985608 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 34985608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

34985608 is an abundant number, since it is smaller than the sum of its proper divisors (43811192).

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

34985608 is a wasteful number, since it uses less digits than its factorization.

34985608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 34985608 is about 5914.8633120301. The cubic root of 34985608 is about 327.0617894565.

The spelling of 34985608 in words is "thirty-four million, nine hundred eighty-five thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 2879 3038 5758 6076 11516 12152 20153 23032 40306 80612 89249 141071 161224 178498 282142 356996 564284 624743 713992 1128568 1249486 2498972 4373201 4997944 8746402 17492804 34985608