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2034334240 = 25517747917
BaseRepresentation
bin111100101000001…
…0111101000100000
312020202221212221121
41321100113220200
513131242143430
6533510502024
7101261361421
oct17120275040
95222855847
102034334240
11954368474
12489364914
13265609093
14154275648
15bd8e5a7a
hex79417a20

2034334240 has 48 divisors (see below), whose sum is σ = 5088834072. Its totient is φ = 765865984.

The previous prime is 2034334231. The next prime is 2034334243. The reversal of 2034334240 is 424334302.

It can be written as a sum of positive squares in 4 ways, for example, as 2013137424 + 21196816 = 44868^2 + 4604^2 .

It is not an unprimeable number, because it can be changed into a prime (2034334243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371239 + ... + 376678.

Almost surely, 22034334240 is an apocalyptic number.

2034334240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034334240 is an abundant number, since it is smaller than the sum of its proper divisors (3054499832).

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

2034334240 is a wasteful number, since it uses less digits than its factorization.

2034334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747949 (or 747941 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 2034334240 is about 45103.5945352474. The cubic root of 2034334240 is about 1267.0899207277.

Adding to 2034334240 its reverse (424334302), we get a palindrome (2458668542).

The spelling of 2034334240 in words is "two billion, thirty-four million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 747917 1495834 2991668 3739585 5983336 7479170 11966672 12714589 14958340 23933344 25429178 29916680 50858356 59833360 63572945 101716712 119666720 127145890 203433424 254291780 406866848 508583560 1017167120 2034334240