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340045214260 = 225193173395429
BaseRepresentation
bin1001111001011000100…
…01100011001000110100
31012111201100001200112211
410330230101203020310
521032403033324020
6420114205023204
733365431426213
oct4745421431064
91174640050484
10340045214260
111212377274a4
1255aa0554b04
13260b238216b
141265b71d07a
158ca312785a
hex4f2c463234

340045214260 has 96 divisors (see below), whose sum is σ = 786557721600. Its totient is φ = 122993925120.

The previous prime is 340045214251. The next prime is 340045214287. The reversal of 340045214260 is 62412540043.

It is a super-2 number, since 2×3400452142602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662226 + ... + 1057654.

It is an arithmetic number, because the mean of its divisors is an integer number (8193309600).

Almost surely, 2340045214260 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 340045214260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393278860800).

340045214260 is an abundant number, since it is smaller than the sum of its proper divisors (446512507340).

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

340045214260 is a wasteful number, since it uses less digits than its factorization.

340045214260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395561 (or 395559 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 340045214260 in words is "three hundred forty billion, forty-five million, two hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 31 38 62 73 76 95 124 146 155 190 292 310 365 380 589 620 730 1178 1387 1460 2263 2356 2774 2945 4526 5548 5890 6935 9052 11315 11780 13870 22630 27740 42997 45260 85994 171988 214985 395429 429970 790858 859940 1581716 1977145 3954290 7513151 7908580 12258299 15026302 24516598 28866317 30052604 37565755 49033196 57732634 61291495 75131510 115465268 122582990 144331585 150263020 232907681 245165980 288663170 465815362 548460023 577326340 894855827 931630724 1096920046 1164538405 1789711654 2193840092 2329076810 2742300115 3579423308 4474279135 4658153620 5484600230 8948558270 10969200460 17002260713 17897116540 34004521426 68009042852 85011303565 170022607130 340045214260