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34839216 = 2432241939
BaseRepresentation
bin1000010011100…
…1101010110000
32102120000102100
42010321222300
532404323331
63242420400
7602062026
oct204715260
972500370
1034839216
1118736245
12b801700
1372aa829
1448ac716
1530d2ae6
hex2139ab0

34839216 has 30 divisors (see below), whose sum is σ = 97501820. Its totient is φ = 11613024.

The previous prime is 34839209. The next prime is 34839221. The reversal of 34839216 is 61293843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 120826 + ... + 121113.

Almost surely, 234839216 is an apocalyptic number.

34839216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34839216 is an abundant number, since it is smaller than the sum of its proper divisors (62662604).

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

34839216 is a wasteful number, since it uses less digits than its factorization.

34839216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241953 (or 241944 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34839216 is about 5902.4754129094. The cubic root of 34839216 is about 326.6049714577.

The spelling of 34839216 in words is "thirty-four million, eight hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241939 483878 725817 967756 1451634 1935512 2177451 2903268 3871024 4354902 5806536 8709804 11613072 17419608 34839216