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34839240 = 2335290327
BaseRepresentation
bin1000010011100…
…1101011001000
32102120000110020
42010321223020
532404323430
63242420440
7602062062
oct204715310
972500406
1034839240
1118736267
12b801720
1372aa847
1448ac732
1530d2b10
hex2139ac8

34839240 has 32 divisors (see below), whose sum is σ = 104518080. Its totient is φ = 9290432.

The previous prime is 34839221. The next prime is 34839241. The reversal of 34839240 is 4293843.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34839241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 145044 + ... + 145283.

It is an arithmetic number, because the mean of its divisors is an integer number (3266190).

Almost surely, 234839240 is an apocalyptic number.

34839240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34839240 is an abundant number, since it is smaller than the sum of its proper divisors (69678840).

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

34839240 is a wasteful number, since it uses less digits than its factorization.

34839240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290341 (or 290337 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34839240 is about 5902.4774459544. The cubic root of 34839240 is about 326.6050464548.

The spelling of 34839240 in words is "thirty-four million, eight hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 290327 580654 870981 1161308 1451635 1741962 2322616 2903270 3483924 4354905 5806540 6967848 8709810 11613080 17419620 34839240