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345482415 = 34517192139
BaseRepresentation
bin10100100101111…
…010010010101111
3220002002022210000
4110211322102233
51201420414130
654140515343
711363360235
oct2445722257
9802068700
10345482415
1116801a063
129784bb53
1356763b85
1433c52955
15204e5260
hex1497a4af

345482415 has 120 divisors (see below), whose sum is σ = 697047120. Its totient is φ = 163109376.

The previous prime is 345482407. The next prime is 345482443. The reversal of 345482415 is 514284543.

It is a happy number.

It is not a de Polignac number, because 345482415 - 23 = 345482407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345482415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2485416 + ... + 2485554.

It is an arithmetic number, because the mean of its divisors is an integer number (5808726).

Almost surely, 2345482415 is an apocalyptic number.

345482415 is an abundant number, since it is smaller than the sum of its proper divisors (351564705).

345482415 is a wasteful number, since it uses less digits than its factorization.

345482415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 345482415 is about 18587.1572597856. The cubic root of 345482415 is about 701.6846600354.

It can be divided in two parts, 34548 and 2415, that added together give a palindrome (36963).

The spelling of 345482415 in words is "three hundred forty-five million, four hundred eighty-two thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 17 19 27 45 51 57 81 85 95 135 139 153 171 255 285 323 361 405 417 459 513 695 765 855 969 1083 1251 1377 1539 1615 1805 2085 2295 2363 2565 2641 2907 3249 3753 4845 5415 6137 6255 6885 7089 7695 7923 8721 9747 11259 11815 13205 14535 16245 18411 18765 21267 23769 26163 29241 30685 35445 39615 43605 44897 48735 50179 55233 56295 63801 71307 92055 106335 118845 130815 134691 146205 150537 165699 191403 213921 224485 250895 276165 319005 356535 404073 451611 497097 673455 752685 828495 853043 957015 1069605 1212219 1354833 2020365 2258055 2485485 2559129 3636657 4064499 4265215 6061095 6774165 7677387 12795645 18183285 20322495 23032161 38386935 69096483 115160805 345482415