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3034295853460 = 2251757776920113
BaseRepresentation
bin101100001001111010001…
…000000110000110010100
3101202002001021222010220221
4230021322020012012110
5344203214214302320
610241534122404124
7432135452126044
oct54117210060624
911662037863827
103034295853460
11a6a9239a6023
12410097660644
13190195bc2011
14a6c09aa9724
1553de05833aa
hex2c27a206194

3034295853460 has 96 divisors (see below), whose sum is σ = 6767664251040. Its totient is φ = 1138803867648.

The previous prime is 3034295853437. The next prime is 3034295853541. The reversal of 3034295853460 is 643585924303.

It can be written as a sum of positive squares in 16 ways, for example, as 243832514436 + 2790463339024 = 493794^2 + 1670468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3034295853398 and 3034295853407.

It is a congruent number.

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, 150852364 + ... + 150872476.

It is an arithmetic number, because the mean of its divisors is an integer number (70496502615).

Almost surely, 23034295853460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034295853460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383832125520).

3034295853460 is an abundant number, since it is smaller than the sum of its proper divisors (3733368397580).

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

3034295853460 is a wasteful number, since it uses less digits than its factorization.

3034295853460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21485 (or 21483 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 3034295853460 in words is "three trillion, thirty-four billion, two hundred ninety-five million, eight hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 577 769 1154 1538 2308 2885 3076 3845 5770 7690 9809 11540 13073 15380 19618 20113 26146 39236 40226 49045 52292 65365 80452 98090 100565 130730 196180 201130 261460 341921 402260 443713 683842 887426 1367684 1709605 1774852 2218565 3419210 4437130 6838420 7543121 8874260 11605201 15086242 15466897 23210402 30172484 30933794 37715605 46420804 58026005 61867588 75431210 77334485 116052010 150862420 154668970 197288417 232104020 262937249 309337940 394576834 525874498 789153668 986442085 1051748996 1314686245 1972884170 2629372490 3945768340 5258744980 8924399569 17848799138 35697598276 44621997845 89243995690 151714792673 178487991380 303429585346 606859170692 758573963365 1517147926730 3034295853460