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3005270345 = 571121315417
BaseRepresentation
bin1011001100100000…
…1100100101001001
321202102221112220002
42303020030211021
522123322122340
61214113212345
7134321243060
oct26310144511
97672845802
103005270345
111302440100
126ba5610b5
1338b80b39c
142071b91d7
15128c85715
hexb320c949

3005270345 has 48 divisors (see below), whose sum is σ = 4565683584. Its totient is φ = 1858771200.

The previous prime is 3005270311. The next prime is 3005270371. The reversal of 3005270345 is 5430725003.

It is not a de Polignac number, because 3005270345 - 210 = 3005269321 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 552077 + ... + 557493.

It is an arithmetic number, because the mean of its divisors is an integer number (95118408).

Almost surely, 23005270345 is an apocalyptic number.

3005270345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3005270345 is a deficient number, since it is larger than the sum of its proper divisors (1560413239).

3005270345 is a wasteful number, since it uses less digits than its factorization.

3005270345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 3005270345 is about 54820.3460861020. The cubic root of 3005270345 is about 1443.0936487477.

Adding to 3005270345 its reverse (5430725003), we get a palindrome (8435995348).

The spelling of 3005270345 in words is "three billion, five million, two hundred seventy thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 55 77 121 131 385 605 655 847 917 1441 4235 4585 5417 7205 10087 15851 27085 37919 50435 59587 79255 110957 189595 297935 417109 554785 655457 709627 2085545 3277285 3548135 4588199 4967389 7805897 22940995 24836945 39029485 54641279 85864867 273206395 429324335 601054069 3005270345