Search a number
-
+
3434203034000 = 24532033384449
BaseRepresentation
bin110001111110010110011…
…100111011000110010000
3110011022021111212210112222
4301332112130323012100
5422231221434042000
611145352345240212
7503053516102304
oct61762634730620
913138244783488
103434203034000
11110448a0a0822
124756a3793068
131bbac8231cab
14bc3057c9d04
155e4e8c44a85
hex31f9673b190

3434203034000 has 80 divisors (see below), whose sum is σ = 8304409666800. Its totient is φ = 1373597388800.

The previous prime is 3434203033997. The next prime is 3434203034021. The reversal of 3434203034000 is 4303024343.

It can be written as a sum of positive squares in 8 ways, for example, as 961874485504 + 2472328548496 = 980752^2 + 1572364^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40623776 + ... + 40708224.

It is an arithmetic number, because the mean of its divisors is an integer number (103805120835).

Almost surely, 23434203034000 is an apocalyptic number.

It is an amenable number.

3434203034000 is an abundant number, since it is smaller than the sum of its proper divisors (4870206632800).

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

3434203034000 is a wasteful number, since it uses less digits than its factorization.

3434203034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104805 (or 104789 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 3434203034000 its reverse (4303024343), we get a palindrome (3438506058343).

The spelling of 3434203034000 in words is "three trillion, four hundred thirty-four billion, two hundred three million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 20333 40666 81332 84449 101665 162664 168898 203330 325328 337796 406660 422245 508325 675592 813320 844490 1016650 1351184 1626640 1688980 2033300 2111225 2541625 3377960 4066600 4222450 5083250 6755920 8133200 8444900 10166500 10556125 16889800 20333000 21112250 33779600 40666000 42224500 84449000 168898000 1717101517 3434203034 6868406068 8585507585 13736812136 17171015170 27473624272 34342030340 42927537925 68684060680 85855075850 137368121360 171710151700 214637689625 343420303400 429275379250 686840606800 858550758500 1717101517000 3434203034000