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434342010 = 235172293719
BaseRepresentation
bin11001111000111…
…000100001111010
31010021021212020010
4121320320201322
51342142421020
6111033242350
713522563144
oct3170704172
91107255203
10434342010
112031a1643
121015633b6
136bca6a0b
1441983c94
15281e8de0
hex19e3887a

434342010 has 64 divisors (see below), whose sum is σ = 1108857600. Its totient is φ = 108506112.

The previous prime is 434341991. The next prime is 434342063. The reversal of 434342010 is 10243434.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114931 + ... + 118649.

It is an arithmetic number, because the mean of its divisors is an integer number (17325900).

Almost surely, 2434342010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434342010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554428800).

434342010 is an abundant number, since it is smaller than the sum of its proper divisors (674515590).

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

434342010 is a wasteful number, since it uses less digits than its factorization.

434342010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 434342010 is about 20840.8735421527. The cubic root of 434342010 is about 757.3162555782.

Adding to 434342010 its reverse (10243434), we get a palindrome (444585444).

The spelling of 434342010 in words is "four hundred thirty-four million, three hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 229 255 458 510 687 1145 1374 2290 3435 3719 3893 6870 7438 7786 11157 11679 18595 19465 22314 23358 37190 38930 55785 58395 63223 111570 116790 126446 189669 316115 379338 632230 851651 948345 1703302 1896690 2554953 4258255 5109906 8516510 12774765 14478067 25549530 28956134 43434201 72390335 86868402 144780670 217171005 434342010