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340552485 = 335713191459
BaseRepresentation
bin10100010011000…
…110101100100101
3212201210212012000
4110103012230211
51144140134420
653443115513
711303435250
oct2423065445
9781725160
10340552485
11165262139
1296072b99
1355728c60
143332c097
151ed6e690
hex144c6b25

340552485 has 128 divisors (see below), whose sum is σ = 784896000. Its totient is φ = 136048896.

The previous prime is 340552469. The next prime is 340552501. The reversal of 340552485 is 584255043.

340552485 is a `hidden beast` number, since 3 + 405 + 5 + 248 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (340552469) and next prime (340552501).

It is not a de Polignac number, because 340552485 - 24 = 340552469 is a prime.

It is a super-3 number, since 3×3405524853 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232686 + ... + 234144.

It is an arithmetic number, because the mean of its divisors is an integer number (6132000).

Almost surely, 2340552485 is an apocalyptic number.

340552485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

340552485 is an abundant number, since it is smaller than the sum of its proper divisors (444343515).

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

340552485 is a wasteful number, since it uses less digits than its factorization.

340552485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 340552485 is about 18454.0641865146. The cubic root of 340552485 is about 698.3310478271.

The spelling of 340552485 in words is "three hundred forty million, five hundred fifty-two thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 19 21 27 35 39 45 57 63 65 91 95 105 117 133 135 171 189 195 247 273 285 315 351 399 455 513 585 665 741 819 855 945 1197 1235 1365 1459 1729 1755 1995 2223 2457 2565 3591 3705 4095 4377 5187 5985 6669 7295 8645 10213 11115 12285 13131 15561 17955 18967 21885 25935 27721 30639 33345 39393 46683 51065 56901 65655 77805 83163 91917 94835 132769 138605 153195 170703 194047 196965 233415 249489 275751 284505 360373 398307 415815 459585 512109 582141 663845 748467 853515 970235 1081119 1194921 1247445 1378755 1746423 1801865 1991535 2522611 2560545 2910705 3243357 3584763 3742335 5239269 5405595 5974605 7567833 8732115 9730071 12613055 16216785 17923815 22703499 26196345 37839165 48650355 68110497 113517495 340552485