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3141011034 = 23472478419
BaseRepresentation
bin1011101100111000…
…0000011001011010
322002220100220010000
42323032000121122
522413044323114
61235402433430
7140560103400
oct27316003132
98086326100
103141011034
111372023097
12737b02876
133b0986b15
1421b231470
15135b49e09
hexbb38065a

3141011034 has 120 divisors (see below), whose sum is σ = 8362474560. Its totient is φ = 878233104.

The previous prime is 3141011033. The next prime is 3141011063. The reversal of 3141011034 is 4301101413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3141010998 and 3141011016.

It is not an unprimeable number, because it can be changed into a prime (3141011033) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 368877 + ... + 377295.

It is an arithmetic number, because the mean of its divisors is an integer number (69687288).

Almost surely, 23141011034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141011034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181237280).

3141011034 is an abundant number, since it is smaller than the sum of its proper divisors (5221463526).

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

3141011034 is a wasteful number, since it uses less digits than its factorization.

3141011034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3141011034 is about 56044.7235161349. The cubic root of 3141011034 is about 1464.5014994473.

Adding to 3141011034 its reverse (4301101413), we get a palindrome (7442112447).

The spelling of 3141011034 in words is "three billion, one hundred forty-one million, eleven thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 49 54 63 81 94 98 126 141 147 162 189 282 294 329 378 423 441 567 658 846 882 987 1134 1269 1323 1974 2303 2538 2646 2961 3807 3969 4606 5922 6909 7614 7938 8419 8883 13818 16838 17766 20727 25257 26649 41454 50514 53298 58933 62181 75771 117866 124362 151542 176799 186543 227313 353598 373086 395693 412531 454626 530397 681939 791386 825062 1060794 1187079 1237593 1363878 1591191 2374158 2475186 2769851 3182382 3561237 3712779 4773573 5539702 7122474 7425558 8309553 9547146 10683711 11138337 16619106 19388957 21367422 22276674 24928659 32051133 33415011 38777914 49857318 58166871 64102266 66830022 74785977 116333742 149571954 174500613 224357931 349001226 448715862 523501839 1047003678 1570505517 3141011034