Search a number
-
+
34035213450 = 23527291117741
BaseRepresentation
bin11111101100101010…
…000010010010001010
310020211222020222121010
4133230222002102022
51024201003312300
623345140424350
72313265353360
oct375452022212
9106758228533
1034035213450
1113485a99687
12671a3a80b6
133295395774
14190c327630
15d43007a50
hex7eca8248a

34035213450 has 96 divisors (see below), whose sum is σ = 99792005760. Its totient is φ = 7511212800.

The previous prime is 34035213439. The next prime is 34035213463. The reversal of 34035213450 is 5431253043.

It is a super-3 number, since 3×340352134503 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528421 + ... + 589320.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500060).

Almost surely, 234035213450 is an apocalyptic number.

34035213450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34035213450 is an abundant number, since it is smaller than the sum of its proper divisors (65756792310).

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

34035213450 is a wasteful number, since it uses less digits than its factorization.

34035213450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117792 (or 1117787 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 34035213450 its reverse (5431253043), we get a palindrome (39466466493).

The spelling of 34035213450 in words is "thirty-four billion, thirty-five million, two hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 50 58 70 75 87 105 145 150 174 175 203 210 290 350 406 435 525 609 725 870 1015 1050 1218 1450 2030 2175 3045 4350 5075 6090 10150 15225 30450 1117741 2235482 3353223 5588705 6706446 7824187 11177410 15648374 16766115 23472561 27943525 32414489 33532230 39120935 46945122 55887050 64828978 78241870 83830575 97243467 117362805 162072445 167661150 194486934 195604675 226901423 234725610 324144890 391209350 453802846 486217335 586814025 680704269 810362225 972434670 1134507115 1173628050 1361408538 1620724450 2269014230 2431086675 3403521345 4862173350 5672535575 6807042690 11345071150 17017606725 34035213450