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1034342434300 = 225275971352741
BaseRepresentation
bin11110000110100111001…
…11010000010111111100
310122212211002202211212011
433003103213100113330
5113421313130344200
62111100444021004
7134504653425130
oct17032347202774
93585732684764
101034342434300
113697313800aa
12148567231764
13766cc1b9996
14380c34a33c0
151bd8b7075ba
hexf0d39d05fc

1034342434300 has 144 divisors (see below), whose sum is σ = 2645395683840. Its totient is φ = 343709856000.

The previous prime is 1034342434283. The next prime is 1034342434313. The reversal of 1034342434300 is 34342434301.

It is a congruent 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, 2755930 + ... + 3108670.

It is an arithmetic number, because the mean of its divisors is an integer number (18370803360).

Almost surely, 21034342434300 is an apocalyptic number.

1034342434300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034342434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322697841920).

1034342434300 is an abundant number, since it is smaller than the sum of its proper divisors (1611053249540).

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

1034342434300 is a wasteful number, since it uses less digits than its factorization.

1034342434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352892 (or 352885 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 1034342434300 its reverse (34342434301), we get a palindrome (1068684868601).

Subtracting from 1034342434300 its reverse (34342434301), we obtain a palindrome (999999999999).

The spelling of 1034342434300 in words is "one trillion, thirty-four billion, three hundred forty-two million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 71 100 118 140 142 175 236 284 295 350 355 413 497 590 700 710 826 994 1180 1420 1475 1652 1775 1988 2065 2485 2950 3550 4130 4189 4970 5900 7100 8260 8378 9940 10325 12425 16756 20650 20945 24850 29323 41300 41890 49700 58646 83780 104725 117292 146615 209450 293230 352741 418900 586460 705482 733075 1410964 1466150 1763705 2469187 2932300 3527410 4938374 7054820 8818525 9876748 12345935 17637050 20811719 24691870 25044611 35274100 41623438 49383740 50089222 61729675 83246876 100178444 104058595 123459350 125223055 145682033 175312277 208117190 246918700 250446110 291364066 350624554 416234380 500892220 520292975 582728132 626115275 701249108 728410165 876561385 1040585950 1252230550 1456820330 1477632049 1753122770 2081171900 2504461100 2913640660 2955264098 3506245540 3642050825 4382806925 5910528196 7284101650 7388160245 8765613850 10343424343 14568203300 14776320490 17531227700 20686848686 29552640980 36940801225 41373697372 51717121715 73881602450 103434243430 147763204900 206868486860 258585608575 517171217150 1034342434300