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34035204240 = 2433515757039
BaseRepresentation
bin11111101100101010…
…000000000010010000
310020211222020111222000
4133230222000002100
51024201003013430
623345140314000
72313265314462
oct375452000220
9106758214860
1034035204240
1113485a92774
12671a3a2900
13329539150b
14190c324132
15d43004e60
hex7eca80090

34035204240 has 80 divisors (see below), whose sum is σ = 117232377600. Its totient is φ = 9076053888.

The previous prime is 34035204239. The next prime is 34035204251. The reversal of 34035204240 is 4240253043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7876360 + ... + 7880679.

It is an arithmetic number, because the mean of its divisors is an integer number (1465404720).

Almost surely, 234035204240 is an apocalyptic number.

34035204240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34035204240 is an abundant number, since it is smaller than the sum of its proper divisors (83197173360).

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

34035204240 is a wasteful number, since it uses less digits than its factorization.

34035204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15757061 (or 15757049 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34035204240 its reverse (4240253043), we get a palindrome (38275457283).

The spelling of 34035204240 in words is "thirty-four billion, thirty-five million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 15757039 31514078 47271117 63028156 78785195 94542234 126056312 141813351 157570390 189084468 236355585 252112624 283626702 315140780 378168936 425440053 472711170 567253404 630281560 709066755 756337872 850880106 945422340 1134506808 1260563120 1418133510 1701760212 1890844680 2127200265 2269013616 2836267020 3403520424 3781689360 4254400530 5672534040 6807040848 8508801060 11345068080 17017602120 34035204240