Search a number
-
+
3434121042 = 2311717310039
BaseRepresentation
bin1100110010110000…
…1000011101010010
322212022220102110020
43030230020131102
524013113333132
61324433044310
7151046355462
oct31454103522
98768812406
103434121042
111502520a70
127ba0b6696
134296117b1
1424812dba2
1515174752c
hexccb08752

3434121042 has 64 divisors (see below), whose sum is σ = 7703009280. Its totient is φ = 1011830400.

The previous prime is 3434121037. The next prime is 3434121077. The reversal of 3434121042 is 2401214343.

It is a super-2 number, since 2×34341210422 = 23586374662214331528, which contains 22 as substring.

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, 337059 + ... + 347097.

It is an arithmetic number, because the mean of its divisors is an integer number (120359520).

Almost surely, 23434121042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434121042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851504640).

3434121042 is an abundant number, since it is smaller than the sum of its proper divisors (4268888238).

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

3434121042 is a wasteful number, since it uses less digits than its factorization.

3434121042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3434121042 is about 58601.3740623887. The cubic root of 3434121042 is about 1508.7080219651.

Adding to 3434121042 its reverse (2401214343), we get a palindrome (5835335385).

The spelling of 3434121042 in words is "three billion, four hundred thirty-four million, one hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 71 73 142 146 213 219 426 438 781 803 1562 1606 2343 2409 4686 4818 5183 10039 10366 15549 20078 30117 31098 57013 60234 110429 114026 171039 220858 331287 342078 662574 712769 732847 1425538 1465694 2138307 2198541 4276614 4397082 7840459 8061317 15680918 16122634 23521377 24183951 47042754 48367902 52032137 104064274 156096411 312192822 572353507 1144707014 1717060521 3434121042