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340343892100 = 225222722572
BaseRepresentation
bin1001111001111100001…
…00111010100010000100
31012112111011002002112001
410330332010322202010
521034011014021400
6420203554435044
733406016231122
oct4747604724204
91175434062461
10340343892100
11121380288593
1255b64592a84
132612c209204
141268926a912
158cbe474a6a
hex4f3e13a884

340343892100 has 81 divisors (see below), whose sum is σ = 744711753583. Its totient is φ = 135010447360.

The previous prime is 340343892089. The next prime is 340343892101. The reversal of 340343892100 is 1298343043.

The square root of 340343892100 is 583390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83635483204 + 256708408896 = 289198^2 + 506664^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 340343892100.

It is not an unprimeable number, because it can be changed into a prime (340343892101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1324295172 + ... + 1324295428.

Almost surely, 2340343892100 is an apocalyptic number.

340343892100 is the 583390-th square number.

It is an amenable number.

340343892100 is an abundant number, since it is smaller than the sum of its proper divisors (404367861483).

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

340343892100 is an equidigital number, since it uses as much as digits as its factorization.

340343892100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 340343892100 in words is "three hundred forty billion, three hundred forty-three million, eight hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 227 257 454 514 908 1028 1135 1285 2270 2570 4540 5140 5675 6425 11350 12850 22700 25700 51529 58339 66049 103058 116678 132098 206116 233356 257645 264196 291695 330245 515290 583390 660490 1030580 1166780 1288225 1320980 1458475 1651225 2576450 2916950 3302450 5152900 5833900 6604900 13242953 14993123 26485906 29986246 52971812 59972492 66214765 74965615 132429530 149931230 264859060 299862460 331073825 374828075 662147650 749656150 1324295300 1499312300 3403438921 6806877842 13613755684 17017194605 34034389210 68068778420 85085973025 170171946050 340343892100