Search a number
-
+
301434203434344 = 233172353606078197
BaseRepresentation
bin100010010001001110001111…
…0100111100110110101101000
31110112021211100220201212121120
41010202130132213212311220
5304002144222034344334
62545032543353135240
7120330621364512441
oct10442343647466550
91415254326655546
10301434203434344
1188056589513222
1229983b749ba520
13cc2717b1b2a26
1454616c98382c8
1524caede654949
hex112271e9e6d68

301434203434344 has 128 divisors (see below), whose sum is σ = 848315532176640. Its totient is φ = 88749242396672.

The previous prime is 301434203434303. The next prime is 301434203434393. The reversal of 301434203434344 is 443434302434103.

It is a junction number, because it is equal to n+sod(n) for n = 301434203434296 and 301434203434305.

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, 302541747 + ... + 303536450.

It is an arithmetic number, because the mean of its divisors is an integer number (6627465095130).

Almost surely, 2301434203434344 is an apocalyptic number.

301434203434344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

301434203434344 is an abundant number, since it is smaller than the sum of its proper divisors (546881328742296).

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

301434203434344 is a wasteful number, since it uses less digits than its factorization.

301434203434344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606078299 (or 606078295 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 42.

Adding to 301434203434344 its reverse (443434302434103), we get a palindrome (744868505868447).

The spelling of 301434203434344 in words is "three hundred one trillion, four hundred thirty-four billion, two hundred three million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 53 68 69 92 102 106 136 138 159 184 204 212 276 318 391 408 424 552 636 782 901 1173 1219 1272 1564 1802 2346 2438 2703 3128 3604 3657 4692 4876 5406 7208 7314 9384 9752 10812 14628 20723 21624 29256 41446 62169 82892 124338 165784 248676 497352 606078197 1212156394 1818234591 2424312788 3636469182 4848625576 7272938364 10303329349 13939798531 14545876728 20606658698 27879597062 30909988047 32122144441 41213317396 41819395593 55759194124 61819976094 64244288882 82426634792 83638791186 96366433323 111518388248 123639952188 128488577764 167277582372 192732866646 236976575027 247279904376 256977155528 334555164744 385465733292 473953150054 546076455497 710929725081 738809322143 770931466584 947906300108 1092152910994 1421859450162 1477618644286 1638229366491 1895812600216 2184305821988 2216427966429 2843718900324 2955237288572 3276458732982 4368611643976 4432855932858 5687437800648 5910474577144 6552917465964 8865711865716 12559758476431 13105834931928 17731423731432 25119516952862 37679275429293 50239033905724 75358550858586 100478067811448 150717101717172 301434203434344