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34347648 = 273233889
BaseRepresentation
bin1000001100000…
…1101010000000
32101122001010010
42003001222000
532243111043
63224104520
7564643626
oct203015200
971561103
1034347648
111842a995
12b605140
137167b6a
1447c1516
153037133
hex20c1a80

34347648 has 64 divisors (see below), whose sum is σ = 95227200. Its totient is φ = 10948608.

The previous prime is 34347637. The next prime is 34347661. The reversal of 34347648 is 84674343.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 6888 + ... + 10776.

It is an arithmetic number, because the mean of its divisors is an integer number (1487925).

Almost surely, 234347648 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 34347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47613600).

34347648 is an abundant number, since it is smaller than the sum of its proper divisors (60879552).

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

34347648 is a wasteful number, since it uses less digits than its factorization.

34347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3917 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 34347648 is about 5860.6866491905. The cubic root of 34347648 is about 325.0615993693.

The spelling of 34347648 in words is "thirty-four million, three hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 3889 4416 7778 8832 11667 15556 23334 31112 46668 62224 89447 93336 124448 178894 186672 248896 268341 357788 373344 497792 536682 715576 746688 1073364 1431152 1493376 2146728 2862304 4293456 5724608 8586912 11449216 17173824 34347648