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340272263745 = 345712166669
BaseRepresentation
bin1001111001110011100…
…11101011001001000001
31012112022011021222220000
410330321303223021001
521033334144414440
6420152515310213
733404156343111
oct4747163531101
91175264258800
10340272263745
111213439050a7
1255b445ab369
132611a41a47b
141267d943041
158cb8026730
hex4f39ceb241

340272263745 has 60 divisors (see below), whose sum is σ = 618685373460. Its totient is φ = 178921431360.

The previous prime is 340272263743. The next prime is 340272263791. The reversal of 340272263745 is 547362272043.

340272263745 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 7 + 2 + 2 + 637 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169345418256 + 170926845489 = 411516^2 + 413433^2 .

It is not a de Polignac number, because 340272263745 - 21 = 340272263743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 340272263745.

It is not an unprimeable number, because it can be changed into a prime (340272263743) 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, 1958271 + ... + 2124939.

It is an arithmetic number, because the mean of its divisors is an integer number (10311422891).

Almost surely, 2340272263745 is an apocalyptic number.

It is an amenable number.

340272263745 is a deficient number, since it is larger than the sum of its proper divisors (278413109715).

340272263745 is an equidigital number, since it uses as much as digits as its factorization.

340272263745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166828 (or 166748 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 340272263745 in words is "three hundred forty billion, two hundred seventy-two million, two hundred sixty-three thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 71 81 135 213 355 405 639 1065 1917 3195 5041 5751 9585 15123 25205 28755 45369 75615 136107 166669 226845 408321 500007 680535 833345 1500021 2041605 2500035 4500063 7500105 11833499 13500189 22500315 35500497 59167495 67500945 106501491 177502485 319504473 532507455 840178429 958513419 1597522365 2520535287 4200892145 4792567095 7561605861 12602676435 22684817583 37808029305 68054452749 113424087915 340272263745