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3427345305 = 345193131423
BaseRepresentation
bin1100110001001001…
…0010001110011001
322211212011011220000
43030102102032121
524004400022210
61324031523213
7150634645236
oct31422221631
98755134800
103427345305
1114a971328a
127b7989509
134280ab697
1424728878d
15150d59ac0
hexcc492399

3427345305 has 80 divisors (see below), whose sum is σ = 6492414720. Its totient is φ = 1724965632.

The previous prime is 3427345247. The next prime is 3427345351. The reversal of 3427345305 is 5035437243.

3427345305 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 345 + 305 = 666.

It is not a de Polignac number, because 3427345305 - 28 = 3427345049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3427345305.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2407824 + ... + 2409246.

It is an arithmetic number, because the mean of its divisors is an integer number (81155184).

Almost surely, 23427345305 is an apocalyptic number.

It is an amenable number.

3427345305 is a deficient number, since it is larger than the sum of its proper divisors (3065069415).

3427345305 is a wasteful number, since it uses less digits than its factorization.

3427345305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3427345305 is about 58543.5334174493. The cubic root of 3427345305 is about 1507.7151100181.

The spelling of 3427345305 in words is "three billion, four hundred twenty-seven million, three hundred forty-five thousand, three hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 313 405 513 855 939 1423 1539 1565 2565 2817 4269 4695 5947 7115 7695 8451 12807 14085 17841 21345 25353 27037 29735 38421 42255 53523 64035 81111 89205 115263 126765 135185 160569 192105 243333 267615 405555 445399 481707 576315 729999 802845 1216665 1336197 2189997 2226995 2408535 3649995 4008591 6680985 8462581 10949985 12025773 20042955 25387743 36077319 42312905 60128865 76163229 126938715 180386595 228489687 380816145 685469061 1142448435 3427345305