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340104471400 = 235217365315053
BaseRepresentation
bin1001111001011111100…
…11100110001101101000
31012111212110120021001201
410330233303212031220
521033013221041100
6420124123053544
733400051210441
oct4745763461550
91174773507051
10340104471400
11121268120241
1255ab83712b4
13260c172bc65
14126655462c8
158ca843036a
hex4f2fce6368

340104471400 has 96 divisors (see below), whose sum is σ = 796584517560. Its totient is φ = 135039319040.

The previous prime is 340104471359. The next prime is 340104471401. The reversal of 340104471400 is 4174401043.

It can be written as a sum of positive squares in 12 ways, for example, as 120119082724 + 219985388676 = 346582^2 + 469026^2 .

It is not an unprimeable number, because it can be changed into a prime (340104471401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22586274 + ... + 22601326.

Almost surely, 2340104471400 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 340104471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398292258780).

340104471400 is an abundant number, since it is smaller than the sum of its proper divisors (456480046160).

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

340104471400 is a wasteful number, since it uses less digits than its factorization.

340104471400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15895 (or 15886 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 340104471400 its reverse (4174401043), we get a palindrome (344278872443).

The spelling of 340104471400 in words is "three hundred forty billion, one hundred four million, four hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 653 692 865 1306 1384 1730 2612 3265 3460 4325 5224 6530 6920 8650 13060 15053 16325 17300 26120 30106 32650 34600 60212 65300 75265 112969 120424 130600 150530 225938 301060 376325 451876 564845 602120 752650 903752 1129690 1505300 2259380 2604169 2824225 3010600 4518760 5208338 5648450 9829609 10416676 11296900 13020845 19659218 20833352 22593800 26041690 39318436 49148045 52083380 65104225 78636872 98296090 104166760 130208450 196592180 245740225 260416900 393184360 491480450 520833800 982960900 1700522357 1965921800 3401044714 6802089428 8502611785 13604178856 17005223570 34010447140 42513058925 68020894280 85026117850 170052235700 340104471400