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34055340 = 22351151599
BaseRepresentation
bin1000000111101…
…0010010101100
32101002012010220
42001322102230
532204232330
63213531340
7562315464
oct201722254
971065126
1034055340
1118250310
12b4a3b50
137094ab7
144746ba4
152eca710
hex207a4ac

34055340 has 48 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 8255680.

The previous prime is 34055321. The next prime is 34055347. The reversal of 34055340 is 4355043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34055340.

It is not an unprimeable number, because it can be changed into a prime (34055347) 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 15 ways as a sum of consecutive naturals, for example, 25140 + ... + 26459.

It is an arithmetic number, because the mean of its divisors is an integer number (2167200).

Almost surely, 234055340 is an apocalyptic number.

34055340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34055340 is an abundant number, since it is smaller than the sum of its proper divisors (69970260).

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

34055340 is a wasteful number, since it uses less digits than its factorization.

34055340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51622 (or 51620 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 34055340 is about 5835.6953313209. The cubic root of 34055340 is about 324.1368496735.

The spelling of 34055340 in words is "thirty-four million, fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 51599 103198 154797 206396 257995 309594 515990 567589 619188 773985 1031980 1135178 1547970 1702767 2270356 2837945 3095940 3405534 5675890 6811068 8513835 11351780 17027670 34055340